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Finding the Fourth Proportional to 107,266.40, 161,029.20 and 106,488.80

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Solution

The fourth proportional to 107,266.40, 161,029.20 and 106,488.80 is: 159,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,266.40 : 161,029.20 = 106,488.80 : x
  2. Step 2: Convert to fraction form
    107,266.40/161,029.20 = 106,488.80/x
  3. Step 3: Cross multiply
    107,266.40x = 161,029.20 × 106,488.80
  4. Step 4: Simplify right side
    107,266.40x = 17,147,806,272.96
  5. Step 5: Solve for x
    x = 17,147,806,272.96/107,266.40
  6. Step 6: Final answer
    x = 159,861.86

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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.