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Finding the Fourth Proportional to 150,060, 207,082.80 and 83,002.08

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Solution

The fourth proportional to 150,060, 207,082.80 and 83,002.08 is: 114,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,060 : 207,082.80 = 83,002.08 : x
  2. Step 2: Convert to fraction form
    150,060/207,082.80 = 83,002.08/x
  3. Step 3: Cross multiply
    150,060x = 207,082.80 × 83,002.08
  4. Step 4: Simplify right side
    150,060x = 17,188,303,132.22
  5. Step 5: Solve for x
    x = 17,188,303,132.22/150,060
  6. Step 6: Final answer
    x = 114,542.87

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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.