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Finding the Fourth Proportional to 72,798.40, 109,197.54 and 20,207.86

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Solution

The fourth proportional to 72,798.40, 109,197.54 and 20,207.86 is: 30,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,798.40 : 109,197.54 = 20,207.86 : x
  2. Step 2: Convert to fraction form
    72,798.40/109,197.54 = 20,207.86/x
  3. Step 3: Cross multiply
    72,798.40x = 109,197.54 × 20,207.86
  4. Step 4: Simplify right side
    72,798.40x = 2,206,648,600.66
  5. Step 5: Solve for x
    x = 2,206,648,600.66/72,798.40
  6. Step 6: Final answer
    x = 30,311.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.