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Finding the Fourth Proportional to 142,715.43, 213,971.81 and 71,586.90

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Solution

The fourth proportional to 142,715.43, 213,971.81 and 71,586.90 is: 107,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,715.43 : 213,971.81 = 71,586.90 : x
  2. Step 2: Convert to fraction form
    142,715.43/213,971.81 = 71,586.90/x
  3. Step 3: Cross multiply
    142,715.43x = 213,971.81 × 71,586.90
  4. Step 4: Simplify right side
    142,715.43x = 15,317,578,565.29
  5. Step 5: Solve for x
    x = 15,317,578,565.29/142,715.43
  6. Step 6: Final answer
    x = 107,329.52

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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.