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Finding the Fourth Proportional to 72,868.68, 109,303.02 and 20,282.27

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Solution

The fourth proportional to 72,868.68, 109,303.02 and 20,282.27 is: 30,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,868.68 : 109,303.02 = 20,282.27 : x
  2. Step 2: Convert to fraction form
    72,868.68/109,303.02 = 20,282.27/x
  3. Step 3: Cross multiply
    72,868.68x = 109,303.02 × 20,282.27
  4. Step 4: Simplify right side
    72,868.68x = 2,216,912,816.94
  5. Step 5: Solve for x
    x = 2,216,912,816.94/72,868.68
  6. Step 6: Final answer
    x = 30,423.40

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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.