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Finding the Fourth Proportional to 109,712.80, 164,569.20 and 91,998.10

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Solution

The fourth proportional to 109,712.80, 164,569.20 and 91,998.10 is: 137,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,712.80 : 164,569.20 = 91,998.10 : x
  2. Step 2: Convert to fraction form
    109,712.80/164,569.20 = 91,998.10/x
  3. Step 3: Cross multiply
    109,712.80x = 164,569.20 × 91,998.10
  4. Step 4: Simplify right side
    109,712.80x = 15,140,053,718.52
  5. Step 5: Solve for x
    x = 15,140,053,718.52/109,712.80
  6. Step 6: Final answer
    x = 137,997.15

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Similar ratio
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1.5x scale

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.