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Finding the Fourth Proportional to 86,418, 129,639.96 and 31,026.96

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Solution

The fourth proportional to 86,418, 129,639.96 and 31,026.96 is: 46,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,418 : 129,639.96 = 31,026.96 : x
  2. Step 2: Convert to fraction form
    86,418/129,639.96 = 31,026.96/x
  3. Step 3: Cross multiply
    86,418x = 129,639.96 × 31,026.96
  4. Step 4: Simplify right side
    86,418x = 4,022,333,853.32
  5. Step 5: Solve for x
    x = 4,022,333,853.32/86,418
  6. Step 6: Final answer
    x = 46,545.09

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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.