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Finding the Fourth Proportional to 86,282.72, 129,357.84 and 77,490.80

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Solution

The fourth proportional to 86,282.72, 129,357.84 and 77,490.80 is: 116,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,282.72 : 129,357.84 = 77,490.80 : x
  2. Step 2: Convert to fraction form
    86,282.72/129,357.84 = 77,490.80/x
  3. Step 3: Cross multiply
    86,282.72x = 129,357.84 × 77,490.80
  4. Step 4: Simplify right side
    86,282.72x = 10,024,042,507.87
  5. Step 5: Solve for x
    x = 10,024,042,507.87/86,282.72
  6. Step 6: Final answer
    x = 116,176.71

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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.