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Finding the Fourth Proportional to 138,882.16, 191,514 and 118,805.52

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Solution

The fourth proportional to 138,882.16, 191,514 and 118,805.52 is: 163,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,882.16 : 191,514 = 118,805.52 : x
  2. Step 2: Convert to fraction form
    138,882.16/191,514 = 118,805.52/x
  3. Step 3: Cross multiply
    138,882.16x = 191,514 × 118,805.52
  4. Step 4: Simplify right side
    138,882.16x = 22,752,920,357.28
  5. Step 5: Solve for x
    x = 22,752,920,357.28/138,882.16
  6. Step 6: Final answer
    x = 163,828.96

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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.