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Finding the Fourth Proportional to 142,750.10, 214,125.15 and 129,628.10

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Solution

The fourth proportional to 142,750.10, 214,125.15 and 129,628.10 is: 194,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,750.10 : 214,125.15 = 129,628.10 : x
  2. Step 2: Convert to fraction form
    142,750.10/214,125.15 = 129,628.10/x
  3. Step 3: Cross multiply
    142,750.10x = 214,125.15 × 129,628.10
  4. Step 4: Simplify right side
    142,750.10x = 27,756,636,356.72
  5. Step 5: Solve for x
    x = 27,756,636,356.72/142,750.10
  6. Step 6: Final answer
    x = 194,442.15

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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.