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Finding the Fourth Proportional to 55,236, 76,229.76 and 31,363.68

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Solution

The fourth proportional to 55,236, 76,229.76 and 31,363.68 is: 43,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,236 : 76,229.76 = 31,363.68 : x
  2. Step 2: Convert to fraction form
    55,236/76,229.76 = 31,363.68/x
  3. Step 3: Cross multiply
    55,236x = 76,229.76 × 31,363.68
  4. Step 4: Simplify right side
    55,236x = 2,390,845,799.12
  5. Step 5: Solve for x
    x = 2,390,845,799.12/55,236
  6. Step 6: Final answer
    x = 43,284.20

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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.