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Finding the Fourth Proportional to 57,089.52, 78,785.73 and 31,939.02

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Solution

The fourth proportional to 57,089.52, 78,785.73 and 31,939.02 is: 44,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,089.52 : 78,785.73 = 31,939.02 : x
  2. Step 2: Convert to fraction form
    57,089.52/78,785.73 = 31,939.02/x
  3. Step 3: Cross multiply
    57,089.52x = 78,785.73 × 31,939.02
  4. Step 4: Simplify right side
    57,089.52x = 2,516,339,006.18
  5. Step 5: Solve for x
    x = 2,516,339,006.18/57,089.52
  6. Step 6: Final answer
    x = 44,077.07

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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.