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Finding the Fourth Proportional to 74,311.71, 102,550.03 and 40,320.20

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Solution

The fourth proportional to 74,311.71, 102,550.03 and 40,320.20 is: 55,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,311.71 : 102,550.03 = 40,320.20 : x
  2. Step 2: Convert to fraction form
    74,311.71/102,550.03 = 40,320.20/x
  3. Step 3: Cross multiply
    74,311.71x = 102,550.03 × 40,320.20
  4. Step 4: Simplify right side
    74,311.71x = 4,134,837,106.06
  5. Step 5: Solve for x
    x = 4,134,837,106.06/74,311.71
  6. Step 6: Final answer
    x = 55,641.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.