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Finding the Fourth Proportional to 72,746.49, 109,119.87 and 20,156.11

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Solution

The fourth proportional to 72,746.49, 109,119.87 and 20,156.11 is: 30,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,746.49 : 109,119.87 = 20,156.11 : x
  2. Step 2: Convert to fraction form
    72,746.49/109,119.87 = 20,156.11/x
  3. Step 3: Cross multiply
    72,746.49x = 109,119.87 × 20,156.11
  4. Step 4: Simplify right side
    72,746.49x = 2,199,432,102.91
  5. Step 5: Solve for x
    x = 2,199,432,102.91/72,746.49
  6. Step 6: Final answer
    x = 30,234.20

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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.