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Finding the Fourth Proportional to 74,520.68, 102,839.24 and 40,529.50

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Solution

The fourth proportional to 74,520.68, 102,839.24 and 40,529.50 is: 55,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,520.68 : 102,839.24 = 40,529.50 : x
  2. Step 2: Convert to fraction form
    74,520.68/102,839.24 = 40,529.50/x
  3. Step 3: Cross multiply
    74,520.68x = 102,839.24 × 40,529.50
  4. Step 4: Simplify right side
    74,520.68x = 4,168,022,977.58
  5. Step 5: Solve for x
    x = 4,168,022,977.58/74,520.68
  6. Step 6: Final answer
    x = 55,931.09

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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.