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Finding the Fourth Proportional to 129,871.63, 194,826.92 and 45,616.94

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Solution

The fourth proportional to 129,871.63, 194,826.92 and 45,616.94 is: 68,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,871.63 : 194,826.92 = 45,616.94 : x
  2. Step 2: Convert to fraction form
    129,871.63/194,826.92 = 45,616.94/x
  3. Step 3: Cross multiply
    129,871.63x = 194,826.92 × 45,616.94
  4. Step 4: Simplify right side
    129,871.63x = 8,887,407,920.02
  5. Step 5: Solve for x
    x = 8,887,407,920.02/129,871.63
  6. Step 6: Final answer
    x = 68,432.25

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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.