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Finding the Fourth Proportional to 86,641.35, 129,929.21 and 34,022.13

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Solution

The fourth proportional to 86,641.35, 129,929.21 and 34,022.13 is: 51,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,641.35 : 129,929.21 = 34,022.13 : x
  2. Step 2: Convert to fraction form
    86,641.35/129,929.21 = 34,022.13/x
  3. Step 3: Cross multiply
    86,641.35x = 129,929.21 × 34,022.13
  4. Step 4: Simplify right side
    86,641.35x = 4,420,468,473.42
  5. Step 5: Solve for x
    x = 4,420,468,473.42/86,641.35
  6. Step 6: Final answer
    x = 51,020.31

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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.