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Finding the Fourth Proportional to 122,857.56, 184,329 and 75,777.12

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Solution

The fourth proportional to 122,857.56, 184,329 and 75,777.12 is: 113,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,857.56 : 184,329 = 75,777.12 : x
  2. Step 2: Convert to fraction form
    122,857.56/184,329 = 75,777.12/x
  3. Step 3: Cross multiply
    122,857.56x = 184,329 × 75,777.12
  4. Step 4: Simplify right side
    122,857.56x = 13,967,920,752.48
  5. Step 5: Solve for x
    x = 13,967,920,752.48/122,857.56
  6. Step 6: Final answer
    x = 113,691.99

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1.5x scale

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.