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Finding the Fourth Proportional to 207,974.14, 287,004.32 and 112,480.80

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Solution

The fourth proportional to 207,974.14, 287,004.32 and 112,480.80 is: 155,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,974.14 : 287,004.32 = 112,480.80 : x
  2. Step 2: Convert to fraction form
    207,974.14/287,004.32 = 112,480.80/x
  3. Step 3: Cross multiply
    207,974.14x = 287,004.32 × 112,480.80
  4. Step 4: Simplify right side
    207,974.14x = 32,282,475,517.06
  5. Step 5: Solve for x
    x = 32,282,475,517.06/207,974.14
  6. Step 6: Final answer
    x = 155,223.51

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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.