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Finding the Fourth Proportional to 86,141.79, 129,202.43 and 22,966.65

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Solution

The fourth proportional to 86,141.79, 129,202.43 and 22,966.65 is: 34,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,141.79 : 129,202.43 = 22,966.65 : x
  2. Step 2: Convert to fraction form
    86,141.79/129,202.43 = 22,966.65/x
  3. Step 3: Cross multiply
    86,141.79x = 129,202.43 × 22,966.65
  4. Step 4: Simplify right side
    86,141.79x = 2,967,346,874.13
  5. Step 5: Solve for x
    x = 2,967,346,874.13/86,141.79
  6. Step 6: Final answer
    x = 34,447.24

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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.