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Finding the Fourth Proportional to 78,356.04, 117,583.44 and 33,377.28

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Solution

The fourth proportional to 78,356.04, 117,583.44 and 33,377.28 is: 50,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,356.04 : 117,583.44 = 33,377.28 : x
  2. Step 2: Convert to fraction form
    78,356.04/117,583.44 = 33,377.28/x
  3. Step 3: Cross multiply
    78,356.04x = 117,583.44 × 33,377.28
  4. Step 4: Simplify right side
    78,356.04x = 3,924,615,400.24
  5. Step 5: Solve for x
    x = 3,924,615,400.24/78,356.04
  6. Step 6: Final answer
    x = 50,086.95

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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.