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Finding the Fourth Proportional to 202,406.85, 279,279.90 and 121,815.90

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Solution

The fourth proportional to 202,406.85, 279,279.90 and 121,815.90 is: 168,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,406.85 : 279,279.90 = 121,815.90 : x
  2. Step 2: Convert to fraction form
    202,406.85/279,279.90 = 121,815.90/x
  3. Step 3: Cross multiply
    202,406.85x = 279,279.90 × 121,815.90
  4. Step 4: Simplify right side
    202,406.85x = 34,020,732,370.41
  5. Step 5: Solve for x
    x = 34,020,732,370.41/202,406.85
  6. Step 6: Final answer
    x = 168,080.93

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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.