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Finding the Fourth Proportional to 109,695.80, 164,543.70 and 91,981.10

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Solution

The fourth proportional to 109,695.80, 164,543.70 and 91,981.10 is: 137,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,695.80 : 164,543.70 = 91,981.10 : x
  2. Step 2: Convert to fraction form
    109,695.80/164,543.70 = 91,981.10/x
  3. Step 3: Cross multiply
    109,695.80x = 164,543.70 × 91,981.10
  4. Step 4: Simplify right side
    109,695.80x = 15,134,910,524.07
  5. Step 5: Solve for x
    x = 15,134,910,524.07/109,695.80
  6. Step 6: Final answer
    x = 137,971.65

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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.