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Finding the Fourth Proportional to 195,678.53, 269,917.01 and 129,374.70

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Solution

The fourth proportional to 195,678.53, 269,917.01 and 129,374.70 is: 178,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,678.53 : 269,917.01 = 129,374.70 : x
  2. Step 2: Convert to fraction form
    195,678.53/269,917.01 = 129,374.70/x
  3. Step 3: Cross multiply
    195,678.53x = 269,917.01 × 129,374.70
  4. Step 4: Simplify right side
    195,678.53x = 34,920,433,044.12
  5. Step 5: Solve for x
    x = 34,920,433,044.12/195,678.53
  6. Step 6: Final answer
    x = 178,458.18

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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.