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Finding the Fourth Proportional to 100,108.65, 138,136.30 and 59,813.90

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Solution

The fourth proportional to 100,108.65, 138,136.30 and 59,813.90 is: 82,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,108.65 : 138,136.30 = 59,813.90 : x
  2. Step 2: Convert to fraction form
    100,108.65/138,136.30 = 59,813.90/x
  3. Step 3: Cross multiply
    100,108.65x = 138,136.30 × 59,813.90
  4. Step 4: Simplify right side
    100,108.65x = 8,262,470,834.57
  5. Step 5: Solve for x
    x = 8,262,470,834.57/100,108.65
  6. Step 6: Final answer
    x = 82,535.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.