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Finding the Fourth Proportional to 202,778.60, 279,824.10 and 113,354.60

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Solution

The fourth proportional to 202,778.60, 279,824.10 and 113,354.60 is: 156,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,778.60 : 279,824.10 = 113,354.60 : x
  2. Step 2: Convert to fraction form
    202,778.60/279,824.10 = 113,354.60/x
  3. Step 3: Cross multiply
    202,778.60x = 279,824.10 × 113,354.60
  4. Step 4: Simplify right side
    202,778.60x = 31,719,348,925.86
  5. Step 5: Solve for x
    x = 31,719,348,925.86/202,778.60
  6. Step 6: Final answer
    x = 156,423.55

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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.