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Finding the Fourth Proportional to 55,564.71, 76,678.52 and 31,691.78

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Solution

The fourth proportional to 55,564.71, 76,678.52 and 31,691.78 is: 43,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,564.71 : 76,678.52 = 31,691.78 : x
  2. Step 2: Convert to fraction form
    55,564.71/76,678.52 = 31,691.78/x
  3. Step 3: Cross multiply
    55,564.71x = 76,678.52 × 31,691.78
  4. Step 4: Simplify right side
    55,564.71x = 2,430,078,786.57
  5. Step 5: Solve for x
    x = 2,430,078,786.57/55,564.71
  6. Step 6: Final answer
    x = 43,734.21

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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.