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Finding the Fourth Proportional to 100,869.67, 151,260.73 and 34,291.91

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Solution

The fourth proportional to 100,869.67, 151,260.73 and 34,291.91 is: 51,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,869.67 : 151,260.73 = 34,291.91 : x
  2. Step 2: Convert to fraction form
    100,869.67/151,260.73 = 34,291.91/x
  3. Step 3: Cross multiply
    100,869.67x = 151,260.73 × 34,291.91
  4. Step 4: Simplify right side
    100,869.67x = 5,187,019,339.69
  5. Step 5: Solve for x
    x = 5,187,019,339.69/100,869.67
  6. Step 6: Final answer
    x = 51,422.98

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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.