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Finding the Fourth Proportional to 142,711.75, 214,059.42 and 42,869.74

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Solution

The fourth proportional to 142,711.75, 214,059.42 and 42,869.74 is: 64,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,711.75 : 214,059.42 = 42,869.74 : x
  2. Step 2: Convert to fraction form
    142,711.75/214,059.42 = 42,869.74/x
  3. Step 3: Cross multiply
    142,711.75x = 214,059.42 × 42,869.74
  4. Step 4: Simplify right side
    142,711.75x = 9,176,671,679.95
  5. Step 5: Solve for x
    x = 9,176,671,679.95/142,711.75
  6. Step 6: Final answer
    x = 64,302.15

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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.