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Finding the Fourth Proportional to 55,863.87, 77,070.33 and 31,977.78

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Solution

The fourth proportional to 55,863.87, 77,070.33 and 31,977.78 is: 44,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,863.87 : 77,070.33 = 31,977.78 : x
  2. Step 2: Convert to fraction form
    55,863.87/77,070.33 = 31,977.78/x
  3. Step 3: Cross multiply
    55,863.87x = 77,070.33 × 31,977.78
  4. Step 4: Simplify right side
    55,863.87x = 2,464,538,057.27
  5. Step 5: Solve for x
    x = 2,464,538,057.27/55,863.87
  6. Step 6: Final answer
    x = 44,116.85

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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.