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Finding the Fourth Proportional to 131,234, 181,104.84 and 71,618

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Solution

The fourth proportional to 131,234, 181,104.84 and 71,618 is: 98,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,234 : 181,104.84 = 71,618 : x
  2. Step 2: Convert to fraction form
    131,234/181,104.84 = 71,618/x
  3. Step 3: Cross multiply
    131,234x = 181,104.84 × 71,618
  4. Step 4: Simplify right side
    131,234x = 12,970,366,431.12
  5. Step 5: Solve for x
    x = 12,970,366,431.12/131,234
  6. Step 6: Final answer
    x = 98,833.89

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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.