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Finding the Fourth Proportional to 218,691.09, 301,850.01 and 142,400.61

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Solution

The fourth proportional to 218,691.09, 301,850.01 and 142,400.61 is: 196,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,691.09 : 301,850.01 = 142,400.61 : x
  2. Step 2: Convert to fraction form
    218,691.09/301,850.01 = 142,400.61/x
  3. Step 3: Cross multiply
    218,691.09x = 301,850.01 × 142,400.61
  4. Step 4: Simplify right side
    218,691.09x = 42,983,625,552.51
  5. Step 5: Solve for x
    x = 42,983,625,552.51/218,691.09
  6. Step 6: Final answer
    x = 196,549.51

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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.