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Finding the Fourth Proportional to 202,648.96, 279,689.58 and 137,208.10

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Solution

The fourth proportional to 202,648.96, 279,689.58 and 137,208.10 is: 189,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,648.96 : 279,689.58 = 137,208.10 : x
  2. Step 2: Convert to fraction form
    202,648.96/279,689.58 = 137,208.10/x
  3. Step 3: Cross multiply
    202,648.96x = 279,689.58 × 137,208.10
  4. Step 4: Simplify right side
    202,648.96x = 38,375,675,861.60
  5. Step 5: Solve for x
    x = 38,375,675,861.60/202,648.96
  6. Step 6: Final answer
    x = 189,370.21

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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.