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Finding the Fourth Proportional to 201,502.98, 278,074.11 and 110,857

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Solution

The fourth proportional to 201,502.98, 278,074.11 and 110,857 is: 152,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,502.98 : 278,074.11 = 110,857 : x
  2. Step 2: Convert to fraction form
    201,502.98/278,074.11 = 110,857/x
  3. Step 3: Cross multiply
    201,502.98x = 278,074.11 × 110,857
  4. Step 4: Simplify right side
    201,502.98x = 30,826,461,612.27
  5. Step 5: Solve for x
    x = 30,826,461,612.27/201,502.98
  6. Step 6: Final answer
    x = 152,982.66

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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.