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Finding the Fourth Proportional to 77,087.98, 115,561.80 and 29,672.80

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Solution

The fourth proportional to 77,087.98, 115,561.80 and 29,672.80 is: 44,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,087.98 : 115,561.80 = 29,672.80 : x
  2. Step 2: Convert to fraction form
    77,087.98/115,561.80 = 29,672.80/x
  3. Step 3: Cross multiply
    77,087.98x = 115,561.80 × 29,672.80
  4. Step 4: Simplify right side
    77,087.98x = 3,429,042,179.04
  5. Step 5: Solve for x
    x = 3,429,042,179.04/77,087.98
  6. Step 6: Final answer
    x = 44,482.19

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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.