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Finding the Fourth Proportional to 50,686.44, 69,955.92 and 29,478

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Solution

The fourth proportional to 50,686.44, 69,955.92 and 29,478 is: 40,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,686.44 : 69,955.92 = 29,478 : x
  2. Step 2: Convert to fraction form
    50,686.44/69,955.92 = 29,478/x
  3. Step 3: Cross multiply
    50,686.44x = 69,955.92 × 29,478
  4. Step 4: Simplify right side
    50,686.44x = 2,062,160,609.76
  5. Step 5: Solve for x
    x = 2,062,160,609.76/50,686.44
  6. Step 6: Final answer
    x = 40,684.66

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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.