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Finding the Fourth Proportional to 99,369, 137,131.38 and 54,657

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Solution

The fourth proportional to 99,369, 137,131.38 and 54,657 is: 75,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,369 : 137,131.38 = 54,657 : x
  2. Step 2: Convert to fraction form
    99,369/137,131.38 = 54,657/x
  3. Step 3: Cross multiply
    99,369x = 137,131.38 × 54,657
  4. Step 4: Simplify right side
    99,369x = 7,495,189,836.66
  5. Step 5: Solve for x
    x = 7,495,189,836.66/99,369
  6. Step 6: Final answer
    x = 75,427.85

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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.