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Finding the Fourth Proportional to 78,078.64, 117,019.92 and 33,653.40

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Solution

The fourth proportional to 78,078.64, 117,019.92 and 33,653.40 is: 50,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078.64 : 117,019.92 = 33,653.40 : x
  2. Step 2: Convert to fraction form
    78,078.64/117,019.92 = 33,653.40/x
  3. Step 3: Cross multiply
    78,078.64x = 117,019.92 × 33,653.40
  4. Step 4: Simplify right side
    78,078.64x = 3,938,118,175.73
  5. Step 5: Solve for x
    x = 3,938,118,175.73/78,078.64
  6. Step 6: Final answer
    x = 50,437.84

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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.