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Finding the Fourth Proportional to 109,377.80, 164,066.70 and 64,981.70

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Solution

The fourth proportional to 109,377.80, 164,066.70 and 64,981.70 is: 97,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,377.80 : 164,066.70 = 64,981.70 : x
  2. Step 2: Convert to fraction form
    109,377.80/164,066.70 = 64,981.70/x
  3. Step 3: Cross multiply
    109,377.80x = 164,066.70 × 64,981.70
  4. Step 4: Simplify right side
    109,377.80x = 10,661,333,079.39
  5. Step 5: Solve for x
    x = 10,661,333,079.39/109,377.80
  6. Step 6: Final answer
    x = 97,472.55

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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.