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Finding the Fourth Proportional to 55,422, 76,485.60 and 31,549.68

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Solution

The fourth proportional to 55,422, 76,485.60 and 31,549.68 is: 43,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,422 : 76,485.60 = 31,549.68 : x
  2. Step 2: Convert to fraction form
    55,422/76,485.60 = 31,549.68/x
  3. Step 3: Cross multiply
    55,422x = 76,485.60 × 31,549.68
  4. Step 4: Simplify right side
    55,422x = 2,413,096,204.61
  5. Step 5: Solve for x
    x = 2,413,096,204.61/55,422
  6. Step 6: Final answer
    x = 43,540.40

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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.