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Finding the Fourth Proportional to 98,713.81, 148,086.20 and 42,569.87

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Solution

The fourth proportional to 98,713.81, 148,086.20 and 42,569.87 is: 63,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,713.81 : 148,086.20 = 42,569.87 : x
  2. Step 2: Convert to fraction form
    98,713.81/148,086.20 = 42,569.87/x
  3. Step 3: Cross multiply
    98,713.81x = 148,086.20 × 42,569.87
  4. Step 4: Simplify right side
    98,713.81x = 6,304,010,440.16
  5. Step 5: Solve for x
    x = 6,304,010,440.16/98,713.81
  6. Step 6: Final answer
    x = 63,861.49

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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.