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Finding the Fourth Proportional to 78,616.80, 117,730.80 and 52,178.40

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Solution

The fourth proportional to 78,616.80, 117,730.80 and 52,178.40 is: 78,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,616.80 : 117,730.80 = 52,178.40 : x
  2. Step 2: Convert to fraction form
    78,616.80/117,730.80 = 52,178.40/x
  3. Step 3: Cross multiply
    78,616.80x = 117,730.80 × 52,178.40
  4. Step 4: Simplify right side
    78,616.80x = 6,143,004,774.72
  5. Step 5: Solve for x
    x = 6,143,004,774.72/78,616.80
  6. Step 6: Final answer
    x = 78,138.58

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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.