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Finding the Fourth Proportional to 213,863.18, 295,204.95 and 123,255.32

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Solution

The fourth proportional to 213,863.18, 295,204.95 and 123,255.32 is: 170,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,863.18 : 295,204.95 = 123,255.32 : x
  2. Step 2: Convert to fraction form
    213,863.18/295,204.95 = 123,255.32/x
  3. Step 3: Cross multiply
    213,863.18x = 295,204.95 × 123,255.32
  4. Step 4: Simplify right side
    213,863.18x = 36,385,579,101.81
  5. Step 5: Solve for x
    x = 36,385,579,101.81/213,863.18
  6. Step 6: Final answer
    x = 170,134.85

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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.