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Finding the Fourth Proportional to 120,048.78, 165,667.75 and 65,600.95

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Solution

The fourth proportional to 120,048.78, 165,667.75 and 65,600.95 is: 90,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,048.78 : 165,667.75 = 65,600.95 : x
  2. Step 2: Convert to fraction form
    120,048.78/165,667.75 = 65,600.95/x
  3. Step 3: Cross multiply
    120,048.78x = 165,667.75 × 65,600.95
  4. Step 4: Simplify right side
    120,048.78x = 10,867,961,516.82
  5. Step 5: Solve for x
    x = 10,867,961,516.82/120,048.78
  6. Step 6: Final answer
    x = 90,529.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.