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Finding the Fourth Proportional to 78,626.64, 117,662.96 and 49,058.40

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Solution

The fourth proportional to 78,626.64, 117,662.96 and 49,058.40 is: 73,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,626.64 : 117,662.96 = 49,058.40 : x
  2. Step 2: Convert to fraction form
    78,626.64/117,662.96 = 49,058.40/x
  3. Step 3: Cross multiply
    78,626.64x = 117,662.96 × 49,058.40
  4. Step 4: Simplify right side
    78,626.64x = 5,772,356,556.86
  5. Step 5: Solve for x
    x = 5,772,356,556.86/78,626.64
  6. Step 6: Final answer
    x = 73,414.77

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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.