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Finding the Fourth Proportional to 72,737.64, 109,094.06 and 20,134.80

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Solution

The fourth proportional to 72,737.64, 109,094.06 and 20,134.80 is: 30,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,737.64 : 109,094.06 = 20,134.80 : x
  2. Step 2: Convert to fraction form
    72,737.64/109,094.06 = 20,134.80/x
  3. Step 3: Cross multiply
    72,737.64x = 109,094.06 × 20,134.80
  4. Step 4: Simplify right side
    72,737.64x = 2,196,587,079.29
  5. Step 5: Solve for x
    x = 2,196,587,079.29/72,737.64
  6. Step 6: Final answer
    x = 30,198.77

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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.