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Finding the Fourth Proportional to 86,470.79, 129,712.86 and 33,188.40

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Solution

The fourth proportional to 86,470.79, 129,712.86 and 33,188.40 is: 49,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,470.79 : 129,712.86 = 33,188.40 : x
  2. Step 2: Convert to fraction form
    86,470.79/129,712.86 = 33,188.40/x
  3. Step 3: Cross multiply
    86,470.79x = 129,712.86 × 33,188.40
  4. Step 4: Simplify right side
    86,470.79x = 4,304,962,282.82
  5. Step 5: Solve for x
    x = 4,304,962,282.82/86,470.79
  6. Step 6: Final answer
    x = 49,785.16

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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.