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Finding the Fourth Proportional to 201,727.65, 302,591.48 and 138,742.05

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Solution

The fourth proportional to 201,727.65, 302,591.48 and 138,742.05 is: 208,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,727.65 : 302,591.48 = 138,742.05 : x
  2. Step 2: Convert to fraction form
    201,727.65/302,591.48 = 138,742.05/x
  3. Step 3: Cross multiply
    201,727.65x = 302,591.48 × 138,742.05
  4. Step 4: Simplify right side
    201,727.65x = 41,982,161,554.02
  5. Step 5: Solve for x
    x = 41,982,161,554.02/201,727.65
  6. Step 6: Final answer
    x = 208,113.08

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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.