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Finding the Fourth Proportional to 99,861.28, 137,809.28 and 55,149.28

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Solution

The fourth proportional to 99,861.28, 137,809.28 and 55,149.28 is: 76,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,861.28 : 137,809.28 = 55,149.28 : x
  2. Step 2: Convert to fraction form
    99,861.28/137,809.28 = 55,149.28/x
  3. Step 3: Cross multiply
    99,861.28x = 137,809.28 × 55,149.28
  4. Step 4: Simplify right side
    99,861.28x = 7,600,082,569.32
  5. Step 5: Solve for x
    x = 7,600,082,569.32/99,861.28
  6. Step 6: Final answer
    x = 76,106.40

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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.