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Finding the Fourth Proportional to 99,468, 137,265.84 and 54,756

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Solution

The fourth proportional to 99,468, 137,265.84 and 54,756 is: 75,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,468 : 137,265.84 = 54,756 : x
  2. Step 2: Convert to fraction form
    99,468/137,265.84 = 54,756/x
  3. Step 3: Cross multiply
    99,468x = 137,265.84 × 54,756
  4. Step 4: Simplify right side
    99,468x = 7,516,128,335.04
  5. Step 5: Solve for x
    x = 7,516,128,335.04/99,468
  6. Step 6: Final answer
    x = 75,563.28

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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.