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Finding the Fourth Proportional to 150,812.13, 208,120.70 and 82,829.12

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Solution

The fourth proportional to 150,812.13, 208,120.70 and 82,829.12 is: 114,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,812.13 : 208,120.70 = 82,829.12 : x
  2. Step 2: Convert to fraction form
    150,812.13/208,120.70 = 82,829.12/x
  3. Step 3: Cross multiply
    150,812.13x = 208,120.70 × 82,829.12
  4. Step 4: Simplify right side
    150,812.13x = 17,238,454,434.78
  5. Step 5: Solve for x
    x = 17,238,454,434.78/150,812.13
  6. Step 6: Final answer
    x = 114,304.16

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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.