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Finding the Fourth Proportional to 99,654, 137,522.64 and 57,215.28

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Solution

The fourth proportional to 99,654, 137,522.64 and 57,215.28 is: 78,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,654 : 137,522.64 = 57,215.28 : x
  2. Step 2: Convert to fraction form
    99,654/137,522.64 = 57,215.28/x
  3. Step 3: Cross multiply
    99,654x = 137,522.64 × 57,215.28
  4. Step 4: Simplify right side
    99,654x = 7,868,396,353.94
  5. Step 5: Solve for x
    x = 7,868,396,353.94/99,654
  6. Step 6: Final answer
    x = 78,957.16

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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.