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Finding the Fourth Proportional to 231,309.87, 319,084.49 and 140,693.55

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Solution

The fourth proportional to 231,309.87, 319,084.49 and 140,693.55 is: 194,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,309.87 : 319,084.49 = 140,693.55 : x
  2. Step 2: Convert to fraction form
    231,309.87/319,084.49 = 140,693.55/x
  3. Step 3: Cross multiply
    231,309.87x = 319,084.49 × 140,693.55
  4. Step 4: Simplify right side
    231,309.87x = 44,893,129,999.77
  5. Step 5: Solve for x
    x = 44,893,129,999.77/231,309.87
  6. Step 6: Final answer
    x = 194,082.21

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1.5x scale

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.