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Finding the Fourth Proportional to 129,833.94, 194,750.90 and 31,337.94

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Solution

The fourth proportional to 129,833.94, 194,750.90 and 31,337.94 is: 47,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,833.94 : 194,750.90 = 31,337.94 : x
  2. Step 2: Convert to fraction form
    129,833.94/194,750.90 = 31,337.94/x
  3. Step 3: Cross multiply
    129,833.94x = 194,750.90 × 31,337.94
  4. Step 4: Simplify right side
    129,833.94x = 6,103,091,045.39
  5. Step 5: Solve for x
    x = 6,103,091,045.39/129,833.94
  6. Step 6: Final answer
    x = 47,006.90

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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.