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Finding the Fourth Proportional to 56,902.40, 78,522.88 and 31,751.68

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Solution

The fourth proportional to 56,902.40, 78,522.88 and 31,751.68 is: 43,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,902.40 : 78,522.88 = 31,751.68 : x
  2. Step 2: Convert to fraction form
    56,902.40/78,522.88 = 31,751.68/x
  3. Step 3: Cross multiply
    56,902.40x = 78,522.88 × 31,751.68
  4. Step 4: Simplify right side
    56,902.40x = 2,493,233,358.44
  5. Step 5: Solve for x
    x = 2,493,233,358.44/56,902.40
  6. Step 6: Final answer
    x = 43,815.96

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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.