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Finding the Fourth Proportional to 142,101.90, 199,311.30 and 142,101.90

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Solution

The fourth proportional to 142,101.90, 199,311.30 and 142,101.90 is: 199,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,101.90 : 199,311.30 = 142,101.90 : x
  2. Step 2: Convert to fraction form
    142,101.90/199,311.30 = 142,101.90/x
  3. Step 3: Cross multiply
    142,101.90x = 199,311.30 × 142,101.90
  4. Step 4: Simplify right side
    142,101.90x = 28,322,514,421.47
  5. Step 5: Solve for x
    x = 28,322,514,421.47/142,101.90
  6. Step 6: Final answer
    x = 199,311.30

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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.