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Finding the Fourth Proportional to 150,738.40, 207,947.10 and 90,280

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Solution

The fourth proportional to 150,738.40, 207,947.10 and 90,280 is: 124,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,738.40 : 207,947.10 = 90,280 : x
  2. Step 2: Convert to fraction form
    150,738.40/207,947.10 = 90,280/x
  3. Step 3: Cross multiply
    150,738.40x = 207,947.10 × 90,280
  4. Step 4: Simplify right side
    150,738.40x = 18,773,464,188
  5. Step 5: Solve for x
    x = 18,773,464,188/150,738.40
  6. Step 6: Final answer
    x = 124,543.34

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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.