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Finding the Fourth Proportional to 213,875, 295,225.38 and 124,451

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Solution

The fourth proportional to 213,875, 295,225.38 and 124,451 is: 171,787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,875 : 295,225.38 = 124,451 : x
  2. Step 2: Convert to fraction form
    213,875/295,225.38 = 124,451/x
  3. Step 3: Cross multiply
    213,875x = 295,225.38 × 124,451
  4. Step 4: Simplify right side
    213,875x = 36,741,093,766.38
  5. Step 5: Solve for x
    x = 36,741,093,766.38/213,875
  6. Step 6: Final answer
    x = 171,787.70

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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.