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Finding the Fourth Proportional to 78,000.31, 107,641.92 and 44,002.11

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Solution

The fourth proportional to 78,000.31, 107,641.92 and 44,002.11 is: 60,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000.31 : 107,641.92 = 44,002.11 : x
  2. Step 2: Convert to fraction form
    78,000.31/107,641.92 = 44,002.11/x
  3. Step 3: Cross multiply
    78,000.31x = 107,641.92 × 44,002.11
  4. Step 4: Simplify right side
    78,000.31x = 4,736,471,604.45
  5. Step 5: Solve for x
    x = 4,736,471,604.45/78,000.31
  6. Step 6: Final answer
    x = 60,723.75

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1.5x scale

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.