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Finding the Fourth Proportional to 86,542.80, 129,862.80 and 36,614.40

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Solution

The fourth proportional to 86,542.80, 129,862.80 and 36,614.40 is: 54,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,542.80 : 129,862.80 = 36,614.40 : x
  2. Step 2: Convert to fraction form
    86,542.80/129,862.80 = 36,614.40/x
  3. Step 3: Cross multiply
    86,542.80x = 129,862.80 × 36,614.40
  4. Step 4: Simplify right side
    86,542.80x = 4,754,848,504.32
  5. Step 5: Solve for x
    x = 4,754,848,504.32/86,542.80
  6. Step 6: Final answer
    x = 54,942.16

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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.