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Finding the Fourth Proportional to 206,745.60, 285,189.12 and 139,560.96

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Solution

The fourth proportional to 206,745.60, 285,189.12 and 139,560.96 is: 192,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,745.60 : 285,189.12 = 139,560.96 : x
  2. Step 2: Convert to fraction form
    206,745.60/285,189.12 = 139,560.96/x
  3. Step 3: Cross multiply
    206,745.60x = 285,189.12 × 139,560.96
  4. Step 4: Simplify right side
    206,745.60x = 39,801,267,368.76
  5. Step 5: Solve for x
    x = 39,801,267,368.76/206,745.60
  6. Step 6: Final answer
    x = 192,513.25

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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.