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Finding the Fourth Proportional to 150,187.22, 206,918.47 and 123,287.14

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Solution

The fourth proportional to 150,187.22, 206,918.47 and 123,287.14 is: 169,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,187.22 : 206,918.47 = 123,287.14 : x
  2. Step 2: Convert to fraction form
    150,187.22/206,918.47 = 123,287.14/x
  3. Step 3: Cross multiply
    150,187.22x = 206,918.47 × 123,287.14
  4. Step 4: Simplify right side
    150,187.22x = 25,510,386,379.48
  5. Step 5: Solve for x
    x = 25,510,386,379.48/150,187.22
  6. Step 6: Final answer
    x = 169,857.24

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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.