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Finding the Fourth Proportional to 150,514.88, 207,719.90 and 83,446.88

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Solution

The fourth proportional to 150,514.88, 207,719.90 and 83,446.88 is: 115,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,514.88 : 207,719.90 = 83,446.88 : x
  2. Step 2: Convert to fraction form
    150,514.88/207,719.90 = 83,446.88/x
  3. Step 3: Cross multiply
    150,514.88x = 207,719.90 × 83,446.88
  4. Step 4: Simplify right side
    150,514.88x = 17,333,577,568.91
  5. Step 5: Solve for x
    x = 17,333,577,568.91/150,514.88
  6. Step 6: Final answer
    x = 115,161.89

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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.