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Finding the Fourth Proportional to 55,843.72, 77,068.62 and 31,977.88

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Solution

The fourth proportional to 55,843.72, 77,068.62 and 31,977.88 is: 44,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,843.72 : 77,068.62 = 31,977.88 : x
  2. Step 2: Convert to fraction form
    55,843.72/77,068.62 = 31,977.88/x
  3. Step 3: Cross multiply
    55,843.72x = 77,068.62 × 31,977.88
  4. Step 4: Simplify right side
    55,843.72x = 2,464,491,082.13
  5. Step 5: Solve for x
    x = 2,464,491,082.13/55,843.72
  6. Step 6: Final answer
    x = 44,131.93

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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.