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Finding the Fourth Proportional to 86,470.75, 129,710.10 and 26,494.93

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Solution

The fourth proportional to 86,470.75, 129,710.10 and 26,494.93 is: 39,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,470.75 : 129,710.10 = 26,494.93 : x
  2. Step 2: Convert to fraction form
    86,470.75/129,710.10 = 26,494.93/x
  3. Step 3: Cross multiply
    86,470.75x = 129,710.10 × 26,494.93
  4. Step 4: Simplify right side
    86,470.75x = 3,436,660,019.79
  5. Step 5: Solve for x
    x = 3,436,660,019.79/86,470.75
  6. Step 6: Final answer
    x = 39,743.61

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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.