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Finding the Fourth Proportional to 107,987.99, 162,031.22 and 55,434.41

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Solution

The fourth proportional to 107,987.99, 162,031.22 and 55,434.41 is: 83,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,987.99 : 162,031.22 = 55,434.41 : x
  2. Step 2: Convert to fraction form
    107,987.99/162,031.22 = 55,434.41/x
  3. Step 3: Cross multiply
    107,987.99x = 162,031.22 × 55,434.41
  4. Step 4: Simplify right side
    107,987.99x = 8,982,105,082.28
  5. Step 5: Solve for x
    x = 8,982,105,082.28/107,987.99
  6. Step 6: Final answer
    x = 83,176.89

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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.