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Finding the Fourth Proportional to 109,553.38, 164,387.93 and 77,738.04

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Solution

The fourth proportional to 109,553.38, 164,387.93 and 77,738.04 is: 116,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,553.38 : 164,387.93 = 77,738.04 : x
  2. Step 2: Convert to fraction form
    109,553.38/164,387.93 = 77,738.04/x
  3. Step 3: Cross multiply
    109,553.38x = 164,387.93 × 77,738.04
  4. Step 4: Simplify right side
    109,553.38x = 12,779,194,655.92
  5. Step 5: Solve for x
    x = 12,779,194,655.92/109,553.38
  6. Step 6: Final answer
    x = 116,648.11

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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.