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Finding the Fourth Proportional to 122,820.80, 184,081.80 and 69,380.24

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Solution

The fourth proportional to 122,820.80, 184,081.80 and 69,380.24 is: 103,985.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,820.80 : 184,081.80 = 69,380.24 : x
  2. Step 2: Convert to fraction form
    122,820.80/184,081.80 = 69,380.24/x
  3. Step 3: Cross multiply
    122,820.80x = 184,081.80 × 69,380.24
  4. Step 4: Simplify right side
    122,820.80x = 12,771,639,463.63
  5. Step 5: Solve for x
    x = 12,771,639,463.63/122,820.80
  6. Step 6: Final answer
    x = 103,985.97

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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.