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Finding the Fourth Proportional to 78,886.40, 118,396.80 and 32,172.80

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Solution

The fourth proportional to 78,886.40, 118,396.80 and 32,172.80 is: 48,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,886.40 : 118,396.80 = 32,172.80 : x
  2. Step 2: Convert to fraction form
    78,886.40/118,396.80 = 32,172.80/x
  3. Step 3: Cross multiply
    78,886.40x = 118,396.80 × 32,172.80
  4. Step 4: Simplify right side
    78,886.40x = 3,809,156,567.04
  5. Step 5: Solve for x
    x = 3,809,156,567.04/78,886.40
  6. Step 6: Final answer
    x = 48,286.61

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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.