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Finding the Fourth Proportional to 78,508.44, 117,744.98 and 22,347.31

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Solution

The fourth proportional to 78,508.44, 117,744.98 and 22,347.31 is: 33,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.44 : 117,744.98 = 22,347.31 : x
  2. Step 2: Convert to fraction form
    78,508.44/117,744.98 = 22,347.31/x
  3. Step 3: Cross multiply
    78,508.44x = 117,744.98 × 22,347.31
  4. Step 4: Simplify right side
    78,508.44x = 2,631,283,162.90
  5. Step 5: Solve for x
    x = 2,631,283,162.90/78,508.44
  6. Step 6: Final answer
    x = 33,515.93

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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.