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Finding the Fourth Proportional to 150,851.48, 208,169.32 and 83,787.80

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Solution

The fourth proportional to 150,851.48, 208,169.32 and 83,787.80 is: 115,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,851.48 : 208,169.32 = 83,787.80 : x
  2. Step 2: Convert to fraction form
    150,851.48/208,169.32 = 83,787.80/x
  3. Step 3: Cross multiply
    150,851.48x = 208,169.32 × 83,787.80
  4. Step 4: Simplify right side
    150,851.48x = 17,442,049,350.30
  5. Step 5: Solve for x
    x = 17,442,049,350.30/150,851.48
  6. Step 6: Final answer
    x = 115,623.99

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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.