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Finding the Fourth Proportional to 86,092.52, 129,171.58 and 77,743.64

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Solution

The fourth proportional to 86,092.52, 129,171.58 and 77,743.64 is: 116,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,092.52 : 129,171.58 = 77,743.64 : x
  2. Step 2: Convert to fraction form
    86,092.52/129,171.58 = 77,743.64/x
  3. Step 3: Cross multiply
    86,092.52x = 129,171.58 × 77,743.64
  4. Step 4: Simplify right side
    86,092.52x = 10,042,268,813.75
  5. Step 5: Solve for x
    x = 10,042,268,813.75/86,092.52
  6. Step 6: Final answer
    x = 116,645.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.