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Finding the Fourth Proportional to 158,642.05, 218,925.42 and 98,200.66

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Solution

The fourth proportional to 158,642.05, 218,925.42 and 98,200.66 is: 135,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,642.05 : 218,925.42 = 98,200.66 : x
  2. Step 2: Convert to fraction form
    158,642.05/218,925.42 = 98,200.66/x
  3. Step 3: Cross multiply
    158,642.05x = 218,925.42 × 98,200.66
  4. Step 4: Simplify right side
    158,642.05x = 21,498,620,734.78
  5. Step 5: Solve for x
    x = 21,498,620,734.78/158,642.05
  6. Step 6: Final answer
    x = 135,516.53

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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.