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Finding the Fourth Proportional to 76,358.50, 114,539.92 and 20,954.50

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Solution

The fourth proportional to 76,358.50, 114,539.92 and 20,954.50 is: 31,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,358.50 : 114,539.92 = 20,954.50 : x
  2. Step 2: Convert to fraction form
    76,358.50/114,539.92 = 20,954.50/x
  3. Step 3: Cross multiply
    76,358.50x = 114,539.92 × 20,954.50
  4. Step 4: Simplify right side
    76,358.50x = 2,400,126,753.64
  5. Step 5: Solve for x
    x = 2,400,126,753.64/76,358.50
  6. Step 6: Final answer
    x = 31,432.35

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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.