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Finding the Fourth Proportional to 51,397.92, 70,927.68 and 31,255.32

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Solution

The fourth proportional to 51,397.92, 70,927.68 and 31,255.32 is: 43,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,397.92 : 70,927.68 = 31,255.32 : x
  2. Step 2: Convert to fraction form
    51,397.92/70,927.68 = 31,255.32/x
  3. Step 3: Cross multiply
    51,397.92x = 70,927.68 × 31,255.32
  4. Step 4: Simplify right side
    51,397.92x = 2,216,867,335.26
  5. Step 5: Solve for x
    x = 2,216,867,335.26/51,397.92
  6. Step 6: Final answer
    x = 43,131.46

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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.