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Finding the Fourth Proportional to 234,514.47, 352,242.39 and 139,929.20

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Solution

The fourth proportional to 234,514.47, 352,242.39 and 139,929.20 is: 210,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,514.47 : 352,242.39 = 139,929.20 : x
  2. Step 2: Convert to fraction form
    234,514.47/352,242.39 = 139,929.20/x
  3. Step 3: Cross multiply
    234,514.47x = 352,242.39 × 139,929.20
  4. Step 4: Simplify right side
    234,514.47x = 49,288,995,838.79
  5. Step 5: Solve for x
    x = 49,288,995,838.79/234,514.47
  6. Step 6: Final answer
    x = 210,174.65

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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.