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Finding the Fourth Proportional to 255,414.76, 352,447.14 and 142,248.04

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Solution

The fourth proportional to 255,414.76, 352,447.14 and 142,248.04 is: 196,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,414.76 : 352,447.14 = 142,248.04 : x
  2. Step 2: Convert to fraction form
    255,414.76/352,447.14 = 142,248.04/x
  3. Step 3: Cross multiply
    255,414.76x = 352,447.14 × 142,248.04
  4. Step 4: Simplify right side
    255,414.76x = 50,134,914,868.61
  5. Step 5: Solve for x
    x = 50,134,914,868.61/255,414.76
  6. Step 6: Final answer
    x = 196,288.24

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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.