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Finding the Fourth Proportional to 150,891.12, 208,238.40 and 83,823.12

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Solution

The fourth proportional to 150,891.12, 208,238.40 and 83,823.12 is: 115,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,891.12 : 208,238.40 = 83,823.12 : x
  2. Step 2: Convert to fraction form
    150,891.12/208,238.40 = 83,823.12/x
  3. Step 3: Cross multiply
    150,891.12x = 208,238.40 × 83,823.12
  4. Step 4: Simplify right side
    150,891.12x = 17,455,192,391.81
  5. Step 5: Solve for x
    x = 17,455,192,391.81/150,891.12
  6. Step 6: Final answer
    x = 115,680.71

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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.