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Finding the Fourth Proportional to 80,332.84, 120,574.01 and 40,919.46

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Solution

The fourth proportional to 80,332.84, 120,574.01 and 40,919.46 is: 61,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,332.84 : 120,574.01 = 40,919.46 : x
  2. Step 2: Convert to fraction form
    80,332.84/120,574.01 = 40,919.46/x
  3. Step 3: Cross multiply
    80,332.84x = 120,574.01 × 40,919.46
  4. Step 4: Simplify right side
    80,332.84x = 4,933,823,379.23
  5. Step 5: Solve for x
    x = 4,933,823,379.23/80,332.84
  6. Step 6: Final answer
    x = 61,417.27

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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.