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Finding the Fourth Proportional to 56,842.50, 78,442.65 and 31,692

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Solution

The fourth proportional to 56,842.50, 78,442.65 and 31,692 is: 43,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,842.50 : 78,442.65 = 31,692 : x
  2. Step 2: Convert to fraction form
    56,842.50/78,442.65 = 31,692/x
  3. Step 3: Cross multiply
    56,842.50x = 78,442.65 × 31,692
  4. Step 4: Simplify right side
    56,842.50x = 2,486,004,463.80
  5. Step 5: Solve for x
    x = 2,486,004,463.80/56,842.50
  6. Step 6: Final answer
    x = 43,734.96

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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.