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Finding the Fourth Proportional to 231,674, 319,707.96 and 131,072

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Solution

The fourth proportional to 231,674, 319,707.96 and 131,072 is: 180,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,674 : 319,707.96 = 131,072 : x
  2. Step 2: Convert to fraction form
    231,674/319,707.96 = 131,072/x
  3. Step 3: Cross multiply
    231,674x = 319,707.96 × 131,072
  4. Step 4: Simplify right side
    231,674x = 41,904,761,733.12
  5. Step 5: Solve for x
    x = 41,904,761,733.12/231,674
  6. Step 6: Final answer
    x = 180,878.14

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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.