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Finding the Fourth Proportional to 252,086.71, 378,188.90 and 83,594.71

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Solution

The fourth proportional to 252,086.71, 378,188.90 and 83,594.71 is: 125,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,086.71 : 378,188.90 = 83,594.71 : x
  2. Step 2: Convert to fraction form
    252,086.71/378,188.90 = 83,594.71/x
  3. Step 3: Cross multiply
    252,086.71x = 378,188.90 × 83,594.71
  4. Step 4: Simplify right side
    252,086.71x = 31,614,590,057.27
  5. Step 5: Solve for x
    x = 31,614,590,057.27/252,086.71
  6. Step 6: Final answer
    x = 125,411.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.