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Finding the Fourth Proportional to 150,500.66, 207,694.87 and 85,084.28

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Solution

The fourth proportional to 150,500.66, 207,694.87 and 85,084.28 is: 117,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,500.66 : 207,694.87 = 85,084.28 : x
  2. Step 2: Convert to fraction form
    150,500.66/207,694.87 = 85,084.28/x
  3. Step 3: Cross multiply
    150,500.66x = 207,694.87 × 85,084.28
  4. Step 4: Simplify right side
    150,500.66x = 17,671,567,222.46
  5. Step 5: Solve for x
    x = 17,671,567,222.46/150,500.66
  6. Step 6: Final answer
    x = 117,418.54

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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.