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Finding the Fourth Proportional to 206,885.46, 310,795.35 and 122,700.85

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Solution

The fourth proportional to 206,885.46, 310,795.35 and 122,700.85 is: 184,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,885.46 : 310,795.35 = 122,700.85 : x
  2. Step 2: Convert to fraction form
    206,885.46/310,795.35 = 122,700.85/x
  3. Step 3: Cross multiply
    206,885.46x = 310,795.35 × 122,700.85
  4. Step 4: Simplify right side
    206,885.46x = 38,134,853,258.04
  5. Step 5: Solve for x
    x = 38,134,853,258.04/206,885.46
  6. Step 6: Final answer
    x = 184,328.34

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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.