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Finding the Fourth Proportional to 72,687.84, 109,031.76 and 22,768.36

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Solution

The fourth proportional to 72,687.84, 109,031.76 and 22,768.36 is: 34,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,687.84 : 109,031.76 = 22,768.36 : x
  2. Step 2: Convert to fraction form
    72,687.84/109,031.76 = 22,768.36/x
  3. Step 3: Cross multiply
    72,687.84x = 109,031.76 × 22,768.36
  4. Step 4: Simplify right side
    72,687.84x = 2,482,474,363.11
  5. Step 5: Solve for x
    x = 2,482,474,363.11/72,687.84
  6. Step 6: Final answer
    x = 34,152.54

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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.