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Finding the Fourth Proportional to 150,107.68, 207,174 and 86,433.76

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Solution

The fourth proportional to 150,107.68, 207,174 and 86,433.76 is: 119,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,107.68 : 207,174 = 86,433.76 : x
  2. Step 2: Convert to fraction form
    150,107.68/207,174 = 86,433.76/x
  3. Step 3: Cross multiply
    150,107.68x = 207,174 × 86,433.76
  4. Step 4: Simplify right side
    150,107.68x = 17,906,827,794.24
  5. Step 5: Solve for x
    x = 17,906,827,794.24/150,107.68
  6. Step 6: Final answer
    x = 119,293.22

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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.