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Finding the Fourth Proportional to 150,681.13, 207,949.67 and 83,613.13

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Solution

The fourth proportional to 150,681.13, 207,949.67 and 83,613.13 is: 115,391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,681.13 : 207,949.67 = 83,613.13 : x
  2. Step 2: Convert to fraction form
    150,681.13/207,949.67 = 83,613.13/x
  3. Step 3: Cross multiply
    150,681.13x = 207,949.67 × 83,613.13
  4. Step 4: Simplify right side
    150,681.13x = 17,387,322,791.17
  5. Step 5: Solve for x
    x = 17,387,322,791.17/150,681.13
  6. Step 6: Final answer
    x = 115,391.51

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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.