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Finding the Fourth Proportional to 123,189.80, 184,545.02 and 80,941.51

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Solution

The fourth proportional to 123,189.80, 184,545.02 and 80,941.51 is: 121,254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,189.80 : 184,545.02 = 80,941.51 : x
  2. Step 2: Convert to fraction form
    123,189.80/184,545.02 = 80,941.51/x
  3. Step 3: Cross multiply
    123,189.80x = 184,545.02 × 80,941.51
  4. Step 4: Simplify right side
    123,189.80x = 14,937,352,559.52
  5. Step 5: Solve for x
    x = 14,937,352,559.52/123,189.80
  6. Step 6: Final answer
    x = 121,254.79

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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.