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Finding the Fourth Proportional to 231,812.78, 319,880.12 and 131,210.78

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Solution

The fourth proportional to 231,812.78, 319,880.12 and 131,210.78 is: 181,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,812.78 : 319,880.12 = 131,210.78 : x
  2. Step 2: Convert to fraction form
    231,812.78/319,880.12 = 131,210.78/x
  3. Step 3: Cross multiply
    231,812.78x = 319,880.12 × 131,210.78
  4. Step 4: Simplify right side
    231,812.78x = 41,971,721,179.42
  5. Step 5: Solve for x
    x = 41,971,721,179.42/231,812.78
  6. Step 6: Final answer
    x = 181,058.70

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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.