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Finding the Fourth Proportional to 72,803.40, 109,205.04 and 20,212.86

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Solution

The fourth proportional to 72,803.40, 109,205.04 and 20,212.86 is: 30,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,803.40 : 109,205.04 = 20,212.86 : x
  2. Step 2: Convert to fraction form
    72,803.40/109,205.04 = 20,212.86/x
  3. Step 3: Cross multiply
    72,803.40x = 109,205.04 × 20,212.86
  4. Step 4: Simplify right side
    72,803.40x = 2,207,346,184.81
  5. Step 5: Solve for x
    x = 2,207,346,184.81/72,803.40
  6. Step 6: Final answer
    x = 30,319.27

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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.