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Finding the Fourth Proportional to 202,011.75, 302,269.13 and 161,909.10

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Solution

The fourth proportional to 202,011.75, 302,269.13 and 161,909.10 is: 242,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,011.75 : 302,269.13 = 161,909.10 : x
  2. Step 2: Convert to fraction form
    202,011.75/302,269.13 = 161,909.10/x
  3. Step 3: Cross multiply
    202,011.75x = 302,269.13 × 161,909.10
  4. Step 4: Simplify right side
    202,011.75x = 48,940,121,986.54
  5. Step 5: Solve for x
    x = 48,940,121,986.54/202,011.75
  6. Step 6: Final answer
    x = 242,263.74

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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.