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Finding the Fourth Proportional to 122,693.85, 184,040.78 and 85,369.05

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Solution

The fourth proportional to 122,693.85, 184,040.78 and 85,369.05 is: 128,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,693.85 : 184,040.78 = 85,369.05 : x
  2. Step 2: Convert to fraction form
    122,693.85/184,040.78 = 85,369.05/x
  3. Step 3: Cross multiply
    122,693.85x = 184,040.78 × 85,369.05
  4. Step 4: Simplify right side
    122,693.85x = 15,711,386,123.01
  5. Step 5: Solve for x
    x = 15,711,386,123.01/122,693.85
  6. Step 6: Final answer
    x = 128,053.58

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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.