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Finding the Fourth Proportional to 56,472.64, 77,930.04 and 31,321.60

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Solution

The fourth proportional to 56,472.64, 77,930.04 and 31,321.60 is: 43,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,472.64 : 77,930.04 = 31,321.60 : x
  2. Step 2: Convert to fraction form
    56,472.64/77,930.04 = 31,321.60/x
  3. Step 3: Cross multiply
    56,472.64x = 77,930.04 × 31,321.60
  4. Step 4: Simplify right side
    56,472.64x = 2,440,893,540.86
  5. Step 5: Solve for x
    x = 2,440,893,540.86/56,472.64
  6. Step 6: Final answer
    x = 43,222.59

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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.