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Finding the Fourth Proportional to 109,197.39, 163,679.43 and 77,937.87

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Solution

The fourth proportional to 109,197.39, 163,679.43 and 77,937.87 is: 116,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,197.39 : 163,679.43 = 77,937.87 : x
  2. Step 2: Convert to fraction form
    109,197.39/163,679.43 = 77,937.87/x
  3. Step 3: Cross multiply
    109,197.39x = 163,679.43 × 77,937.87
  4. Step 4: Simplify right side
    109,197.39x = 12,756,826,137.01
  5. Step 5: Solve for x
    x = 12,756,826,137.01/109,197.39
  6. Step 6: Final answer
    x = 116,823.54

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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.