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Finding the Fourth Proportional to 55,886.42, 77,119.20 and 31,687.88

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Solution

The fourth proportional to 55,886.42, 77,119.20 and 31,687.88 is: 43,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,886.42 : 77,119.20 = 31,687.88 : x
  2. Step 2: Convert to fraction form
    55,886.42/77,119.20 = 31,687.88/x
  3. Step 3: Cross multiply
    55,886.42x = 77,119.20 × 31,687.88
  4. Step 4: Simplify right side
    55,886.42x = 2,443,743,569.70
  5. Step 5: Solve for x
    x = 2,443,743,569.70/55,886.42
  6. Step 6: Final answer
    x = 43,726.96

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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.