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Finding the Fourth Proportional to 221,438.76, 305,627.25 and 138,691.14

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Solution

The fourth proportional to 221,438.76, 305,627.25 and 138,691.14 is: 191,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,438.76 : 305,627.25 = 138,691.14 : x
  2. Step 2: Convert to fraction form
    221,438.76/305,627.25 = 138,691.14/x
  3. Step 3: Cross multiply
    221,438.76x = 305,627.25 × 138,691.14
  4. Step 4: Simplify right side
    221,438.76x = 42,387,791,717.57
  5. Step 5: Solve for x
    x = 42,387,791,717.57/221,438.76
  6. Step 6: Final answer
    x = 191,419.93

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1.5x scale

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.