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Finding the Fourth Proportional to 123,023.70, 184,098.15 and 85,407.30

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Solution

The fourth proportional to 123,023.70, 184,098.15 and 85,407.30 is: 127,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,023.70 : 184,098.15 = 85,407.30 : x
  2. Step 2: Convert to fraction form
    123,023.70/184,098.15 = 85,407.30/x
  3. Step 3: Cross multiply
    123,023.70x = 184,098.15 × 85,407.30
  4. Step 4: Simplify right side
    123,023.70x = 15,723,325,926.50
  5. Step 5: Solve for x
    x = 15,723,325,926.50/123,023.70
  6. Step 6: Final answer
    x = 127,807.29

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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.