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Finding the Fourth Proportional to 86,469, 129,535.66 and 56,796.80

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Solution

The fourth proportional to 86,469, 129,535.66 and 56,796.80 is: 85,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,469 : 129,535.66 = 56,796.80 : x
  2. Step 2: Convert to fraction form
    86,469/129,535.66 = 56,796.80/x
  3. Step 3: Cross multiply
    86,469x = 129,535.66 × 56,796.80
  4. Step 4: Simplify right side
    86,469x = 7,357,210,973.89
  5. Step 5: Solve for x
    x = 7,357,210,973.89/86,469
  6. Step 6: Final answer
    x = 85,084.95

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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.