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Finding the Fourth Proportional to 99,405, 137,178.90 and 54,693

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Solution

The fourth proportional to 99,405, 137,178.90 and 54,693 is: 75,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,405 : 137,178.90 = 54,693 : x
  2. Step 2: Convert to fraction form
    99,405/137,178.90 = 54,693/x
  3. Step 3: Cross multiply
    99,405x = 137,178.90 × 54,693
  4. Step 4: Simplify right side
    99,405x = 7,502,725,577.70
  5. Step 5: Solve for x
    x = 7,502,725,577.70/99,405
  6. Step 6: Final answer
    x = 75,476.34

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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.