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Finding the Fourth Proportional to 57,281.80, 85,929.10 and 17,838.60

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Solution

The fourth proportional to 57,281.80, 85,929.10 and 17,838.60 is: 26,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,281.80 : 85,929.10 = 17,838.60 : x
  2. Step 2: Convert to fraction form
    57,281.80/85,929.10 = 17,838.60/x
  3. Step 3: Cross multiply
    57,281.80x = 85,929.10 × 17,838.60
  4. Step 4: Simplify right side
    57,281.80x = 1,532,854,843.26
  5. Step 5: Solve for x
    x = 1,532,854,843.26/57,281.80
  6. Step 6: Final answer
    x = 26,759.89

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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.