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Finding the Fourth Proportional to 206,365.70, 284,801.46 and 121,499.30

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Solution

The fourth proportional to 206,365.70, 284,801.46 and 121,499.30 is: 167,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,365.70 : 284,801.46 = 121,499.30 : x
  2. Step 2: Convert to fraction form
    206,365.70/284,801.46 = 121,499.30/x
  3. Step 3: Cross multiply
    206,365.70x = 284,801.46 × 121,499.30
  4. Step 4: Simplify right side
    206,365.70x = 34,603,178,028.98
  5. Step 5: Solve for x
    x = 34,603,178,028.98/206,365.70
  6. Step 6: Final answer
    x = 167,678.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.