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Finding the Fourth Proportional to 142,711.76, 214,059.40 and 42,869.76

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Solution

The fourth proportional to 142,711.76, 214,059.40 and 42,869.76 is: 64,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,711.76 : 214,059.40 = 42,869.76 : x
  2. Step 2: Convert to fraction form
    142,711.76/214,059.40 = 42,869.76/x
  3. Step 3: Cross multiply
    142,711.76x = 214,059.40 × 42,869.76
  4. Step 4: Simplify right side
    142,711.76x = 9,176,675,103.74
  5. Step 5: Solve for x
    x = 9,176,675,103.74/142,711.76
  6. Step 6: Final answer
    x = 64,302.16

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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.