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Finding the Fourth Proportional to 141,240.78, 194,929.50 and 81,624.78

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Solution

The fourth proportional to 141,240.78, 194,929.50 and 81,624.78 is: 112,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,240.78 : 194,929.50 = 81,624.78 : x
  2. Step 2: Convert to fraction form
    141,240.78/194,929.50 = 81,624.78/x
  3. Step 3: Cross multiply
    141,240.78x = 194,929.50 × 81,624.78
  4. Step 4: Simplify right side
    141,240.78x = 15,911,077,553.01
  5. Step 5: Solve for x
    x = 15,911,077,553.01/141,240.78
  6. Step 6: Final answer
    x = 112,652.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.