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Finding the Fourth Proportional to 78,290.54, 117,532.59 and 74,157.11

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Solution

The fourth proportional to 78,290.54, 117,532.59 and 74,157.11 is: 111,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,290.54 : 117,532.59 = 74,157.11 : x
  2. Step 2: Convert to fraction form
    78,290.54/117,532.59 = 74,157.11/x
  3. Step 3: Cross multiply
    78,290.54x = 117,532.59 × 74,157.11
  4. Step 4: Simplify right side
    78,290.54x = 8,715,876,617.55
  5. Step 5: Solve for x
    x = 8,715,876,617.55/78,290.54
  6. Step 6: Final answer
    x = 111,327.34

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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.