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Finding the Fourth Proportional to 86,340.90, 129,341.85 and 76,936.80

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Solution

The fourth proportional to 86,340.90, 129,341.85 and 76,936.80 is: 115,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,340.90 : 129,341.85 = 76,936.80 : x
  2. Step 2: Convert to fraction form
    86,340.90/129,341.85 = 76,936.80/x
  3. Step 3: Cross multiply
    86,340.90x = 129,341.85 × 76,936.80
  4. Step 4: Simplify right side
    86,340.90x = 9,951,148,045.08
  5. Step 5: Solve for x
    x = 9,951,148,045.08/86,340.90
  6. Step 6: Final answer
    x = 115,254.16

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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.