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Finding the Fourth Proportional to 231,301.48, 319,203.78 and 130,705.96

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Solution

The fourth proportional to 231,301.48, 319,203.78 and 130,705.96 is: 180,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,301.48 : 319,203.78 = 130,705.96 : x
  2. Step 2: Convert to fraction form
    231,301.48/319,203.78 = 130,705.96/x
  3. Step 3: Cross multiply
    231,301.48x = 319,203.78 × 130,705.96
  4. Step 4: Simplify right side
    231,301.48x = 41,721,836,500.53
  5. Step 5: Solve for x
    x = 41,721,836,500.53/231,301.48
  6. Step 6: Final answer
    x = 180,378.60

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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.