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Finding the Fourth Proportional to 142,752.10, 214,128.15 and 129,630.10

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Solution

The fourth proportional to 142,752.10, 214,128.15 and 129,630.10 is: 194,445.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,752.10 : 214,128.15 = 129,630.10 : x
  2. Step 2: Convert to fraction form
    142,752.10/214,128.15 = 129,630.10/x
  3. Step 3: Cross multiply
    142,752.10x = 214,128.15 × 129,630.10
  4. Step 4: Simplify right side
    142,752.10x = 27,757,453,497.32
  5. Step 5: Solve for x
    x = 27,757,453,497.32/142,752.10
  6. Step 6: Final answer
    x = 194,445.15

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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.