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Finding the Fourth Proportional to 55,320, 76,343.52 and 31,447.68

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Solution

The fourth proportional to 55,320, 76,343.52 and 31,447.68 is: 43,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,320 : 76,343.52 = 31,447.68 : x
  2. Step 2: Convert to fraction form
    55,320/76,343.52 = 31,447.68/x
  3. Step 3: Cross multiply
    55,320x = 76,343.52 × 31,447.68
  4. Step 4: Simplify right side
    55,320x = 2,400,826,587.03
  5. Step 5: Solve for x
    x = 2,400,826,587.03/55,320
  6. Step 6: Final answer
    x = 43,398.89

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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.