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Finding the Fourth Proportional to 86,564.64, 129,920.64 and 34,010.88

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Solution

The fourth proportional to 86,564.64, 129,920.64 and 34,010.88 is: 51,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,564.64 : 129,920.64 = 34,010.88 : x
  2. Step 2: Convert to fraction form
    86,564.64/129,920.64 = 34,010.88/x
  3. Step 3: Cross multiply
    86,564.64x = 129,920.64 × 34,010.88
  4. Step 4: Simplify right side
    86,564.64x = 4,418,715,296.56
  5. Step 5: Solve for x
    x = 4,418,715,296.56/86,564.64
  6. Step 6: Final answer
    x = 51,045.27

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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.