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Finding the Fourth Proportional to 138,412.80, 207,291.15 and 138,412.80

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Solution

The fourth proportional to 138,412.80, 207,291.15 and 138,412.80 is: 207,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,412.80 : 207,291.15 = 138,412.80 : x
  2. Step 2: Convert to fraction form
    138,412.80/207,291.15 = 138,412.80/x
  3. Step 3: Cross multiply
    138,412.80x = 207,291.15 × 138,412.80
  4. Step 4: Simplify right side
    138,412.80x = 28,691,748,486.72
  5. Step 5: Solve for x
    x = 28,691,748,486.72/138,412.80
  6. Step 6: Final answer
    x = 207,291.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.