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Finding the Fourth Proportional to 51,538.52, 77,326.20 and 31,794.09

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Solution

The fourth proportional to 51,538.52, 77,326.20 and 31,794.09 is: 47,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,538.52 : 77,326.20 = 31,794.09 : x
  2. Step 2: Convert to fraction form
    51,538.52/77,326.20 = 31,794.09/x
  3. Step 3: Cross multiply
    51,538.52x = 77,326.20 × 31,794.09
  4. Step 4: Simplify right side
    51,538.52x = 2,458,516,162.16
  5. Step 5: Solve for x
    x = 2,458,516,162.16/51,538.52
  6. Step 6: Final answer
    x = 47,702.50

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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.