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Finding the Fourth Proportional to 86,304, 129,233.28 and 51,267.84

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Solution

The fourth proportional to 86,304, 129,233.28 and 51,267.84 is: 76,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,304 : 129,233.28 = 51,267.84 : x
  2. Step 2: Convert to fraction form
    86,304/129,233.28 = 51,267.84/x
  3. Step 3: Cross multiply
    86,304x = 129,233.28 × 51,267.84
  4. Step 4: Simplify right side
    86,304x = 6,625,511,121.72
  5. Step 5: Solve for x
    x = 6,625,511,121.72/86,304
  6. Step 6: Final answer
    x = 76,769.46

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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.