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Finding the Fourth Proportional to 142,586.61, 213,920.30 and 71,423.29

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Solution

The fourth proportional to 142,586.61, 213,920.30 and 71,423.29 is: 107,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,586.61 : 213,920.30 = 71,423.29 : x
  2. Step 2: Convert to fraction form
    142,586.61/213,920.30 = 71,423.29/x
  3. Step 3: Cross multiply
    142,586.61x = 213,920.30 × 71,423.29
  4. Step 4: Simplify right side
    142,586.61x = 15,278,891,623.79
  5. Step 5: Solve for x
    x = 15,278,891,623.79/142,586.61
  6. Step 6: Final answer
    x = 107,155.16

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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.