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Finding the Fourth Proportional to 99,854.57, 137,564.93 and 69,584.87

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Solution

The fourth proportional to 99,854.57, 137,564.93 and 69,584.87 is: 95,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,854.57 : 137,564.93 = 69,584.87 : x
  2. Step 2: Convert to fraction form
    99,854.57/137,564.93 = 69,584.87/x
  3. Step 3: Cross multiply
    99,854.57x = 137,564.93 × 69,584.87
  4. Step 4: Simplify right side
    99,854.57x = 9,572,438,288.48
  5. Step 5: Solve for x
    x = 9,572,438,288.48/99,854.57
  6. Step 6: Final answer
    x = 95,863.80

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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.