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Finding the Fourth Proportional to 131,307, 181,203.66 and 71,691

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Solution

The fourth proportional to 131,307, 181,203.66 and 71,691 is: 98,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,307 : 181,203.66 = 71,691 : x
  2. Step 2: Convert to fraction form
    131,307/181,203.66 = 71,691/x
  3. Step 3: Cross multiply
    131,307x = 181,203.66 × 71,691
  4. Step 4: Simplify right side
    131,307x = 12,990,671,589.06
  5. Step 5: Solve for x
    x = 12,990,671,589.06/131,307
  6. Step 6: Final answer
    x = 98,933.58

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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.