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Finding the Fourth Proportional to 150,640.13, 207,901.82 and 86,977.78

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Solution

The fourth proportional to 150,640.13, 207,901.82 and 86,977.78 is: 120,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,640.13 : 207,901.82 = 86,977.78 : x
  2. Step 2: Convert to fraction form
    150,640.13/207,901.82 = 86,977.78/x
  3. Step 3: Cross multiply
    150,640.13x = 207,901.82 × 86,977.78
  4. Step 4: Simplify right side
    150,640.13x = 18,082,838,761.56
  5. Step 5: Solve for x
    x = 18,082,838,761.56/150,640.13
  6. Step 6: Final answer
    x = 120,039.98

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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.