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Finding the Fourth Proportional to 109,469.70, 164,204.55 and 56,981.70

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Solution

The fourth proportional to 109,469.70, 164,204.55 and 56,981.70 is: 85,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,469.70 : 164,204.55 = 56,981.70 : x
  2. Step 2: Convert to fraction form
    109,469.70/164,204.55 = 56,981.70/x
  3. Step 3: Cross multiply
    109,469.70x = 164,204.55 × 56,981.70
  4. Step 4: Simplify right side
    109,469.70x = 9,356,654,406.74
  5. Step 5: Solve for x
    x = 9,356,654,406.74/109,469.70
  6. Step 6: Final answer
    x = 85,472.55

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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.