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Finding the Fourth Proportional to 150,680.25, 207,948.47 and 83,612.25

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Solution

The fourth proportional to 150,680.25, 207,948.47 and 83,612.25 is: 115,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,680.25 : 207,948.47 = 83,612.25 : x
  2. Step 2: Convert to fraction form
    150,680.25/207,948.47 = 83,612.25/x
  3. Step 3: Cross multiply
    150,680.25x = 207,948.47 × 83,612.25
  4. Step 4: Simplify right side
    150,680.25x = 17,387,039,042.70
  5. Step 5: Solve for x
    x = 17,387,039,042.70/150,680.25
  6. Step 6: Final answer
    x = 115,390.30

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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.