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Finding the Fourth Proportional to 106,455.39, 159,793.85 and 78,407.11

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Solution

The fourth proportional to 106,455.39, 159,793.85 and 78,407.11 is: 117,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,455.39 : 159,793.85 = 78,407.11 : x
  2. Step 2: Convert to fraction form
    106,455.39/159,793.85 = 78,407.11/x
  3. Step 3: Cross multiply
    106,455.39x = 159,793.85 × 78,407.11
  4. Step 4: Simplify right side
    106,455.39x = 12,528,973,974.27
  5. Step 5: Solve for x
    x = 12,528,973,974.27/106,455.39
  6. Step 6: Final answer
    x = 117,692.25

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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.