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Finding the Fourth Proportional to 86,498.84, 129,737.10 and 27,340.50

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Solution

The fourth proportional to 86,498.84, 129,737.10 and 27,340.50 is: 41,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,498.84 : 129,737.10 = 27,340.50 : x
  2. Step 2: Convert to fraction form
    86,498.84/129,737.10 = 27,340.50/x
  3. Step 3: Cross multiply
    86,498.84x = 129,737.10 × 27,340.50
  4. Step 4: Simplify right side
    86,498.84x = 3,547,077,182.55
  5. Step 5: Solve for x
    x = 3,547,077,182.55/86,498.84
  6. Step 6: Final answer
    x = 41,007.22

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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.