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Finding the Fourth Proportional to 99,778.80, 137,583.04 and 81,572.64

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Solution

The fourth proportional to 99,778.80, 137,583.04 and 81,572.64 is: 112,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778.80 : 137,583.04 = 81,572.64 : x
  2. Step 2: Convert to fraction form
    99,778.80/137,583.04 = 81,572.64/x
  3. Step 3: Cross multiply
    99,778.80x = 137,583.04 × 81,572.64
  4. Step 4: Simplify right side
    99,778.80x = 11,223,011,792.03
  5. Step 5: Solve for x
    x = 11,223,011,792.03/99,778.80
  6. Step 6: Final answer
    x = 112,478.92

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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.