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Finding the Fourth Proportional to 147,703.86, 203,830.29 and 80,635.86

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Solution

The fourth proportional to 147,703.86, 203,830.29 and 80,635.86 is: 111,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,703.86 : 203,830.29 = 80,635.86 : x
  2. Step 2: Convert to fraction form
    147,703.86/203,830.29 = 80,635.86/x
  3. Step 3: Cross multiply
    147,703.86x = 203,830.29 × 80,635.86
  4. Step 4: Simplify right side
    147,703.86x = 16,436,030,728.20
  5. Step 5: Solve for x
    x = 16,436,030,728.20/147,703.86
  6. Step 6: Final answer
    x = 111,276.92

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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.