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Finding the Fourth Proportional to 55,538, 83,113.19 and 45,425.87

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Solution

The fourth proportional to 55,538, 83,113.19 and 45,425.87 is: 67,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,538 : 83,113.19 = 45,425.87 : x
  2. Step 2: Convert to fraction form
    55,538/83,113.19 = 45,425.87/x
  3. Step 3: Cross multiply
    55,538x = 83,113.19 × 45,425.87
  4. Step 4: Simplify right side
    55,538x = 3,775,488,964.23
  5. Step 5: Solve for x
    x = 3,775,488,964.23/55,538
  6. Step 6: Final answer
    x = 67,980.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.