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Finding the Fourth Proportional to 150,500, 207,722.40 and 90,084.13

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Solution

The fourth proportional to 150,500, 207,722.40 and 90,084.13 is: 124,335.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,500 : 207,722.40 = 90,084.13 : x
  2. Step 2: Convert to fraction form
    150,500/207,722.40 = 90,084.13/x
  3. Step 3: Cross multiply
    150,500x = 207,722.40 × 90,084.13
  4. Step 4: Simplify right side
    150,500x = 18,712,491,685.51
  5. Step 5: Solve for x
    x = 18,712,491,685.51/150,500
  6. Step 6: Final answer
    x = 124,335.49

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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.