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Finding the Fourth Proportional to 81,392.76, 122,075.10 and 24,465.78

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Solution

The fourth proportional to 81,392.76, 122,075.10 and 24,465.78 is: 36,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,392.76 : 122,075.10 = 24,465.78 : x
  2. Step 2: Convert to fraction form
    81,392.76/122,075.10 = 24,465.78/x
  3. Step 3: Cross multiply
    81,392.76x = 122,075.10 × 24,465.78
  4. Step 4: Simplify right side
    81,392.76x = 2,986,662,540.08
  5. Step 5: Solve for x
    x = 2,986,662,540.08/81,392.76
  6. Step 6: Final answer
    x = 36,694.45

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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.