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Finding the Fourth Proportional to 231,148.08, 319,021.08 and 140,532.48

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Solution

The fourth proportional to 231,148.08, 319,021.08 and 140,532.48 is: 193,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,148.08 : 319,021.08 = 140,532.48 : x
  2. Step 2: Convert to fraction form
    231,148.08/319,021.08 = 140,532.48/x
  3. Step 3: Cross multiply
    231,148.08x = 319,021.08 × 140,532.48
  4. Step 4: Simplify right side
    231,148.08x = 44,832,823,544.68
  5. Step 5: Solve for x
    x = 44,832,823,544.68/231,148.08
  6. Step 6: Final answer
    x = 193,957.15

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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.