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Finding the Fourth Proportional to 102,800.52, 154,161.90 and 40,437

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Solution

The fourth proportional to 102,800.52, 154,161.90 and 40,437 is: 60,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,800.52 : 154,161.90 = 40,437 : x
  2. Step 2: Convert to fraction form
    102,800.52/154,161.90 = 40,437/x
  3. Step 3: Cross multiply
    102,800.52x = 154,161.90 × 40,437
  4. Step 4: Simplify right side
    102,800.52x = 6,233,844,750.30
  5. Step 5: Solve for x
    x = 6,233,844,750.30/102,800.52
  6. Step 6: Final answer
    x = 60,640.21

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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.