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Finding the Fourth Proportional to 129,939.93, 194,909.91 and 31,443.93

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Solution

The fourth proportional to 129,939.93, 194,909.91 and 31,443.93 is: 47,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,939.93 : 194,909.91 = 31,443.93 : x
  2. Step 2: Convert to fraction form
    129,939.93/194,909.91 = 31,443.93/x
  3. Step 3: Cross multiply
    129,939.93x = 194,909.91 × 31,443.93
  4. Step 4: Simplify right side
    129,939.93x = 6,128,733,566.35
  5. Step 5: Solve for x
    x = 6,128,733,566.35/129,939.93
  6. Step 6: Final answer
    x = 47,165.90

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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.