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Finding the Fourth Proportional to 341,972.70, 512,959.05 and 105,387.90

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Solution

The fourth proportional to 341,972.70, 512,959.05 and 105,387.90 is: 158,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,972.70 : 512,959.05 = 105,387.90 : x
  2. Step 2: Convert to fraction form
    341,972.70/512,959.05 = 105,387.90/x
  3. Step 3: Cross multiply
    341,972.70x = 512,959.05 × 105,387.90
  4. Step 4: Simplify right side
    341,972.70x = 54,059,677,065.50
  5. Step 5: Solve for x
    x = 54,059,677,065.50/341,972.70
  6. Step 6: Final answer
    x = 158,081.85

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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.