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Finding the Fourth Proportional to 86,471, 129,538.66 and 56,798.80

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Solution

The fourth proportional to 86,471, 129,538.66 and 56,798.80 is: 85,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,471 : 129,538.66 = 56,798.80 : x
  2. Step 2: Convert to fraction form
    86,471/129,538.66 = 56,798.80/x
  3. Step 3: Cross multiply
    86,471x = 129,538.66 × 56,798.80
  4. Step 4: Simplify right side
    86,471x = 7,357,640,441.61
  5. Step 5: Solve for x
    x = 7,357,640,441.61/86,471
  6. Step 6: Final answer
    x = 85,087.95

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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.