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Finding the Fourth Proportional to 150,512.64, 207,719.68 and 83,443.20

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Solution

The fourth proportional to 150,512.64, 207,719.68 and 83,443.20 is: 115,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,512.64 : 207,719.68 = 83,443.20 : x
  2. Step 2: Convert to fraction form
    150,512.64/207,719.68 = 83,443.20/x
  3. Step 3: Cross multiply
    150,512.64x = 207,719.68 × 83,443.20
  4. Step 4: Simplify right side
    150,512.64x = 17,332,794,802.18
  5. Step 5: Solve for x
    x = 17,332,794,802.18/150,512.64
  6. Step 6: Final answer
    x = 115,158.40

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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.