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Finding the Fourth Proportional to 57,078, 78,767.64 and 31,927.50

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Solution

The fourth proportional to 57,078, 78,767.64 and 31,927.50 is: 44,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,078 : 78,767.64 = 31,927.50 : x
  2. Step 2: Convert to fraction form
    57,078/78,767.64 = 31,927.50/x
  3. Step 3: Cross multiply
    57,078x = 78,767.64 × 31,927.50
  4. Step 4: Simplify right side
    57,078x = 2,514,853,826.10
  5. Step 5: Solve for x
    x = 2,514,853,826.10/57,078
  6. Step 6: Final answer
    x = 44,059.95

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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.