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Finding the Fourth Proportional to 78,341.82, 117,482.74 and 33,335.03

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Solution

The fourth proportional to 78,341.82, 117,482.74 and 33,335.03 is: 49,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,341.82 : 117,482.74 = 33,335.03 : x
  2. Step 2: Convert to fraction form
    78,341.82/117,482.74 = 33,335.03/x
  3. Step 3: Cross multiply
    78,341.82x = 117,482.74 × 33,335.03
  4. Step 4: Simplify right side
    78,341.82x = 3,916,290,074.97
  5. Step 5: Solve for x
    x = 3,916,290,074.97/78,341.82
  6. Step 6: Final answer
    x = 49,989.78

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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.