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Finding the Fourth Proportional to 55,420.80, 76,481.16 and 31,549.02

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Solution

The fourth proportional to 55,420.80, 76,481.16 and 31,549.02 is: 43,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,420.80 : 76,481.16 = 31,549.02 : x
  2. Step 2: Convert to fraction form
    55,420.80/76,481.16 = 31,549.02/x
  3. Step 3: Cross multiply
    55,420.80x = 76,481.16 × 31,549.02
  4. Step 4: Simplify right side
    55,420.80x = 2,412,905,646.46
  5. Step 5: Solve for x
    x = 2,412,905,646.46/55,420.80
  6. Step 6: Final answer
    x = 43,537.91

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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.