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Finding the Fourth Proportional to 129,603.84, 178,857.09 and 75,883.83

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Solution

The fourth proportional to 129,603.84, 178,857.09 and 75,883.83 is: 104,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,603.84 : 178,857.09 = 75,883.83 : x
  2. Step 2: Convert to fraction form
    129,603.84/178,857.09 = 75,883.83/x
  3. Step 3: Cross multiply
    129,603.84x = 178,857.09 × 75,883.83
  4. Step 4: Simplify right side
    129,603.84x = 13,572,361,011.85
  5. Step 5: Solve for x
    x = 13,572,361,011.85/129,603.84
  6. Step 6: Final answer
    x = 104,721.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.