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Finding the Fourth Proportional to 78,084.03, 117,172.71 and 71,731.65

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Solution

The fourth proportional to 78,084.03, 117,172.71 and 71,731.65 is: 107,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,084.03 : 117,172.71 = 71,731.65 : x
  2. Step 2: Convert to fraction form
    78,084.03/117,172.71 = 71,731.65/x
  3. Step 3: Cross multiply
    78,084.03x = 117,172.71 × 71,731.65
  4. Step 4: Simplify right side
    78,084.03x = 8,404,991,823.27
  5. Step 5: Solve for x
    x = 8,404,991,823.27/78,084.03
  6. Step 6: Final answer
    x = 107,640.34

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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.