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Finding the Fourth Proportional to 99,470, 137,268.60 and 54,758

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Solution

The fourth proportional to 99,470, 137,268.60 and 54,758 is: 75,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470 : 137,268.60 = 54,758 : x
  2. Step 2: Convert to fraction form
    99,470/137,268.60 = 54,758/x
  3. Step 3: Cross multiply
    99,470x = 137,268.60 × 54,758
  4. Step 4: Simplify right side
    99,470x = 7,516,553,998.80
  5. Step 5: Solve for x
    x = 7,516,553,998.80/99,470
  6. Step 6: Final answer
    x = 75,566.04

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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.