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Finding the Fourth Proportional to 263,691.72, 363,894.53 and 142,832.03

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Solution

The fourth proportional to 263,691.72, 363,894.53 and 142,832.03 is: 197,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,691.72 : 363,894.53 = 142,832.03 : x
  2. Step 2: Convert to fraction form
    263,691.72/363,894.53 = 142,832.03/x
  3. Step 3: Cross multiply
    263,691.72x = 363,894.53 × 142,832.03
  4. Step 4: Simplify right side
    263,691.72x = 51,975,791,892.16
  5. Step 5: Solve for x
    x = 51,975,791,892.16/263,691.72
  6. Step 6: Final answer
    x = 197,108.17

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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.