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Finding the Fourth Proportional to 231,165.74, 346,848.78 and 81,512.93

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Solution

The fourth proportional to 231,165.74, 346,848.78 and 81,512.93 is: 122,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,165.74 : 346,848.78 = 81,512.93 : x
  2. Step 2: Convert to fraction form
    231,165.74/346,848.78 = 81,512.93/x
  3. Step 3: Cross multiply
    231,165.74x = 346,848.78 × 81,512.93
  4. Step 4: Simplify right side
    231,165.74x = 28,272,660,324.73
  5. Step 5: Solve for x
    x = 28,272,660,324.73/231,165.74
  6. Step 6: Final answer
    x = 122,304.72

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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.