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Finding the Fourth Proportional to 78,503.96, 117,757.31 and 22,345.52

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Solution

The fourth proportional to 78,503.96, 117,757.31 and 22,345.52 is: 33,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,503.96 : 117,757.31 = 22,345.52 : x
  2. Step 2: Convert to fraction form
    78,503.96/117,757.31 = 22,345.52/x
  3. Step 3: Cross multiply
    78,503.96x = 117,757.31 × 22,345.52
  4. Step 4: Simplify right side
    78,503.96x = 2,631,347,625.24
  5. Step 5: Solve for x
    x = 2,631,347,625.24/78,503.96
  6. Step 6: Final answer
    x = 33,518.66

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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.