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Finding the Fourth Proportional to 86,436, 129,693.04 and 49,500

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Solution

The fourth proportional to 86,436, 129,693.04 and 49,500 is: 74,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,436 : 129,693.04 = 49,500 : x
  2. Step 2: Convert to fraction form
    86,436/129,693.04 = 49,500/x
  3. Step 3: Cross multiply
    86,436x = 129,693.04 × 49,500
  4. Step 4: Simplify right side
    86,436x = 6,419,805,480
  5. Step 5: Solve for x
    x = 6,419,805,480/86,436
  6. Step 6: Final answer
    x = 74,272.36

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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.