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Finding the Fourth Proportional to 78,070, 117,108.24 and 22,666

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Solution

The fourth proportional to 78,070, 117,108.24 and 22,666 is: 33,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,070 : 117,108.24 = 22,666 : x
  2. Step 2: Convert to fraction form
    78,070/117,108.24 = 22,666/x
  3. Step 3: Cross multiply
    78,070x = 117,108.24 × 22,666
  4. Step 4: Simplify right side
    78,070x = 2,654,375,367.84
  5. Step 5: Solve for x
    x = 2,654,375,367.84/78,070
  6. Step 6: Final answer
    x = 33,999.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.