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Finding the Fourth Proportional to 102,750, 154,156.08 and 72,822.12

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Solution

The fourth proportional to 102,750, 154,156.08 and 72,822.12 is: 109,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,750 : 154,156.08 = 72,822.12 : x
  2. Step 2: Convert to fraction form
    102,750/154,156.08 = 72,822.12/x
  3. Step 3: Cross multiply
    102,750x = 154,156.08 × 72,822.12
  4. Step 4: Simplify right side
    102,750x = 11,225,972,556.49
  5. Step 5: Solve for x
    x = 11,225,972,556.49/102,750
  6. Step 6: Final answer
    x = 109,255.21

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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.