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Finding the Fourth Proportional to 103,813.26, 155,611.90 and 75,281.11

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Solution

The fourth proportional to 103,813.26, 155,611.90 and 75,281.11 is: 112,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,813.26 : 155,611.90 = 75,281.11 : x
  2. Step 2: Convert to fraction form
    103,813.26/155,611.90 = 75,281.11/x
  3. Step 3: Cross multiply
    103,813.26x = 155,611.90 × 75,281.11
  4. Step 4: Simplify right side
    103,813.26x = 11,714,636,167.52
  5. Step 5: Solve for x
    x = 11,714,636,167.52/103,813.26
  6. Step 6: Final answer
    x = 112,843.35

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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.