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Finding the Fourth Proportional to 99,708.70, 137,598.42 and 54,387.65

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Solution

The fourth proportional to 99,708.70, 137,598.42 and 54,387.65 is: 75,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,708.70 : 137,598.42 = 54,387.65 : x
  2. Step 2: Convert to fraction form
    99,708.70/137,598.42 = 54,387.65/x
  3. Step 3: Cross multiply
    99,708.70x = 137,598.42 × 54,387.65
  4. Step 4: Simplify right side
    99,708.70x = 7,483,655,102.50
  5. Step 5: Solve for x
    x = 7,483,655,102.50/99,708.70
  6. Step 6: Final answer
    x = 75,055.19

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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.