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Finding the Fourth Proportional to 218,951.56, 302,154.60 and 138,415.42

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Solution

The fourth proportional to 218,951.56, 302,154.60 and 138,415.42 is: 191,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,951.56 : 302,154.60 = 138,415.42 : x
  2. Step 2: Convert to fraction form
    218,951.56/302,154.60 = 138,415.42/x
  3. Step 3: Cross multiply
    218,951.56x = 302,154.60 × 138,415.42
  4. Step 4: Simplify right side
    218,951.56x = 41,822,855,863.93
  5. Step 5: Solve for x
    x = 41,822,855,863.93/218,951.56
  6. Step 6: Final answer
    x = 191,014.19

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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.