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Finding the Fourth Proportional to 142,717,143.90, 200,207,109.30 and 142,717,143.90

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Solution

The fourth proportional to 142,717,143.90, 200,207,109.30 and 142,717,143.90 is: 200,207,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,717,143.90 : 200,207,109.30 = 142,717,143.90 : x
  2. Step 2: Convert to fraction form
    142,717,143.90/200,207,109.30 = 142,717,143.90/x
  3. Step 3: Cross multiply
    142,717,143.90x = 200,207,109.30 × 142,717,143.90
  4. Step 4: Simplify right side
    142,717,143.90x = 28,572,986,827,771,132
  5. Step 5: Solve for x
    x = 28,572,986,827,771,132/142,717,143.90
  6. Step 6: Final answer
    x = 200,207,109.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.