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Finding the Fourth Proportional to 78,291.60, 117,431.16 and 22,129.44

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Solution

The fourth proportional to 78,291.60, 117,431.16 and 22,129.44 is: 33,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,291.60 : 117,431.16 = 22,129.44 : x
  2. Step 2: Convert to fraction form
    78,291.60/117,431.16 = 22,129.44/x
  3. Step 3: Cross multiply
    78,291.60x = 117,431.16 × 22,129.44
  4. Step 4: Simplify right side
    78,291.60x = 2,598,685,809.35
  5. Step 5: Solve for x
    x = 2,598,685,809.35/78,291.60
  6. Step 6: Final answer
    x = 33,192.40

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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.