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Finding the Fourth Proportional to 99,442, 137,232.12 and 54,730

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Solution

The fourth proportional to 99,442, 137,232.12 and 54,730 is: 75,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,442 : 137,232.12 = 54,730 : x
  2. Step 2: Convert to fraction form
    99,442/137,232.12 = 54,730/x
  3. Step 3: Cross multiply
    99,442x = 137,232.12 × 54,730
  4. Step 4: Simplify right side
    99,442x = 7,510,713,927.60
  5. Step 5: Solve for x
    x = 7,510,713,927.60/99,442
  6. Step 6: Final answer
    x = 75,528.59

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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.