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Finding the Fourth Proportional to 231,026, 318,816.84 and 125,042

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Solution

The fourth proportional to 231,026, 318,816.84 and 125,042 is: 172,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,026 : 318,816.84 = 125,042 : x
  2. Step 2: Convert to fraction form
    231,026/318,816.84 = 125,042/x
  3. Step 3: Cross multiply
    231,026x = 318,816.84 × 125,042
  4. Step 4: Simplify right side
    231,026x = 39,865,495,307.28
  5. Step 5: Solve for x
    x = 39,865,495,307.28/231,026
  6. Step 6: Final answer
    x = 172,558.48

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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.