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Finding the Fourth Proportional to 70,387.87, 105,592.10 and 20,461.47

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Solution

The fourth proportional to 70,387.87, 105,592.10 and 20,461.47 is: 30,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,387.87 : 105,592.10 = 20,461.47 : x
  2. Step 2: Convert to fraction form
    70,387.87/105,592.10 = 20,461.47/x
  3. Step 3: Cross multiply
    70,387.87x = 105,592.10 × 20,461.47
  4. Step 4: Simplify right side
    70,387.87x = 2,160,569,586.39
  5. Step 5: Solve for x
    x = 2,160,569,586.39/70,387.87
  6. Step 6: Final answer
    x = 30,695.20

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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.