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Finding the Fourth Proportional to 129,937.95, 194,906.93 and 31,441.95

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Solution

The fourth proportional to 129,937.95, 194,906.93 and 31,441.95 is: 47,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,937.95 : 194,906.93 = 31,441.95 : x
  2. Step 2: Convert to fraction form
    129,937.95/194,906.93 = 31,441.95/x
  3. Step 3: Cross multiply
    129,937.95x = 194,906.93 × 31,441.95
  4. Step 4: Simplify right side
    129,937.95x = 6,128,253,947.71
  5. Step 5: Solve for x
    x = 6,128,253,947.71/129,937.95
  6. Step 6: Final answer
    x = 47,162.93

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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.