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Finding the Fourth Proportional to 217,781.63, 300,609.12 and 141,165.55

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Solution

The fourth proportional to 217,781.63, 300,609.12 and 141,165.55 is: 194,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,781.63 : 300,609.12 = 141,165.55 : x
  2. Step 2: Convert to fraction form
    217,781.63/300,609.12 = 141,165.55/x
  3. Step 3: Cross multiply
    217,781.63x = 300,609.12 × 141,165.55
  4. Step 4: Simplify right side
    217,781.63x = 42,435,652,664.95
  5. Step 5: Solve for x
    x = 42,435,652,664.95/217,781.63
  6. Step 6: Final answer
    x = 194,854.14

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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.