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Finding the Fourth Proportional to 123,964.80, 185,928.96 and 40,848

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Solution

The fourth proportional to 123,964.80, 185,928.96 and 40,848 is: 61,265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964.80 : 185,928.96 = 40,848 : x
  2. Step 2: Convert to fraction form
    123,964.80/185,928.96 = 40,848/x
  3. Step 3: Cross multiply
    123,964.80x = 185,928.96 × 40,848
  4. Step 4: Simplify right side
    123,964.80x = 7,594,826,158.08
  5. Step 5: Solve for x
    x = 7,594,826,158.08/123,964.80
  6. Step 6: Final answer
    x = 61,265.99

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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.