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Finding the Fourth Proportional to 78,041.80, 117,034.62 and 33,649.48

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Solution

The fourth proportional to 78,041.80, 117,034.62 and 33,649.48 is: 50,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,041.80 : 117,034.62 = 33,649.48 : x
  2. Step 2: Convert to fraction form
    78,041.80/117,034.62 = 33,649.48/x
  3. Step 3: Cross multiply
    78,041.80x = 117,034.62 × 33,649.48
  4. Step 4: Simplify right side
    78,041.80x = 3,938,154,105.00
  5. Step 5: Solve for x
    x = 3,938,154,105.00/78,041.80
  6. Step 6: Final answer
    x = 50,462.11

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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.