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Finding the Fourth Proportional to 102,892.80, 142,008.48 and 60,461.76

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Solution

The fourth proportional to 102,892.80, 142,008.48 and 60,461.76 is: 83,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,892.80 : 142,008.48 = 60,461.76 : x
  2. Step 2: Convert to fraction form
    102,892.80/142,008.48 = 60,461.76/x
  3. Step 3: Cross multiply
    102,892.80x = 142,008.48 × 60,461.76
  4. Step 4: Simplify right side
    102,892.80x = 8,586,082,635.72
  5. Step 5: Solve for x
    x = 8,586,082,635.72/102,892.80
  6. Step 6: Final answer
    x = 83,446.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.