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Finding the Fourth Proportional to 201,987.30, 302,988.60 and 75,614.24

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Solution

The fourth proportional to 201,987.30, 302,988.60 and 75,614.24 is: 113,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,987.30 : 302,988.60 = 75,614.24 : x
  2. Step 2: Convert to fraction form
    201,987.30/302,988.60 = 75,614.24/x
  3. Step 3: Cross multiply
    201,987.30x = 302,988.60 × 75,614.24
  4. Step 4: Simplify right side
    201,987.30x = 22,910,252,717.66
  5. Step 5: Solve for x
    x = 22,910,252,717.66/201,987.30
  6. Step 6: Final answer
    x = 113,424.22

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1.5x scale

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.