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Finding the Fourth Proportional to 99,957.12, 137,936.16 and 54,637.44

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Solution

The fourth proportional to 99,957.12, 137,936.16 and 54,637.44 is: 75,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,957.12 : 137,936.16 = 54,637.44 : x
  2. Step 2: Convert to fraction form
    99,957.12/137,936.16 = 54,637.44/x
  3. Step 3: Cross multiply
    99,957.12x = 137,936.16 × 54,637.44
  4. Step 4: Simplify right side
    99,957.12x = 7,536,478,665.83
  5. Step 5: Solve for x
    x = 7,536,478,665.83/99,957.12
  6. Step 6: Final answer
    x = 75,397.12

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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.