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Finding the Fourth Proportional to 150,471.40, 207,649.86 and 83,403.40

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Solution

The fourth proportional to 150,471.40, 207,649.86 and 83,403.40 is: 115,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,471.40 : 207,649.86 = 83,403.40 : x
  2. Step 2: Convert to fraction form
    150,471.40/207,649.86 = 83,403.40/x
  3. Step 3: Cross multiply
    150,471.40x = 207,649.86 × 83,403.40
  4. Step 4: Simplify right side
    150,471.40x = 17,318,704,333.52
  5. Step 5: Solve for x
    x = 17,318,704,333.52/150,471.40
  6. Step 6: Final answer
    x = 115,096.32

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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.