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Finding the Fourth Proportional to 243,186.50, 364,781.37 and 76,974.50

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Solution

The fourth proportional to 243,186.50, 364,781.37 and 76,974.50 is: 115,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,186.50 : 364,781.37 = 76,974.50 : x
  2. Step 2: Convert to fraction form
    243,186.50/364,781.37 = 76,974.50/x
  3. Step 3: Cross multiply
    243,186.50x = 364,781.37 × 76,974.50
  4. Step 4: Simplify right side
    243,186.50x = 28,078,863,565.07
  5. Step 5: Solve for x
    x = 28,078,863,565.07/243,186.50
  6. Step 6: Final answer
    x = 115,462.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.