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Finding the Fourth Proportional to 123,240.64, 184,692.40 and 67,007.20

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Solution

The fourth proportional to 123,240.64, 184,692.40 and 67,007.20 is: 100,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,240.64 : 184,692.40 = 67,007.20 : x
  2. Step 2: Convert to fraction form
    123,240.64/184,692.40 = 67,007.20/x
  3. Step 3: Cross multiply
    123,240.64x = 184,692.40 × 67,007.20
  4. Step 4: Simplify right side
    123,240.64x = 12,375,720,585.28
  5. Step 5: Solve for x
    x = 12,375,720,585.28/123,240.64
  6. Step 6: Final answer
    x = 100,419.15

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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.