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Finding the Fourth Proportional to 78,201.98, 117,215.49 and 33,762.14

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Solution

The fourth proportional to 78,201.98, 117,215.49 and 33,762.14 is: 50,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,201.98 : 117,215.49 = 33,762.14 : x
  2. Step 2: Convert to fraction form
    78,201.98/117,215.49 = 33,762.14/x
  3. Step 3: Cross multiply
    78,201.98x = 117,215.49 × 33,762.14
  4. Step 4: Simplify right side
    78,201.98x = 3,957,445,614.74
  5. Step 5: Solve for x
    x = 3,957,445,614.74/78,201.98
  6. Step 6: Final answer
    x = 50,605.44

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1.5x scale

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.