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Finding the Fourth Proportional to 129,235.30, 193,748.38 and 58,105.86

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Solution

The fourth proportional to 129,235.30, 193,748.38 and 58,105.86 is: 87,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,235.30 : 193,748.38 = 58,105.86 : x
  2. Step 2: Convert to fraction form
    129,235.30/193,748.38 = 58,105.86/x
  3. Step 3: Cross multiply
    129,235.30x = 193,748.38 × 58,105.86
  4. Step 4: Simplify right side
    129,235.30x = 11,257,915,535.11
  5. Step 5: Solve for x
    x = 11,257,915,535.11/129,235.30
  6. Step 6: Final answer
    x = 87,111.77

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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.