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Finding the Fourth Proportional to 120,138.86, 165,792.12 and 65,692.16

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Solution

The fourth proportional to 120,138.86, 165,792.12 and 65,692.16 is: 90,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,138.86 : 165,792.12 = 65,692.16 : x
  2. Step 2: Convert to fraction form
    120,138.86/165,792.12 = 65,692.16/x
  3. Step 3: Cross multiply
    120,138.86x = 165,792.12 × 65,692.16
  4. Step 4: Simplify right side
    120,138.86x = 10,891,242,473.78
  5. Step 5: Solve for x
    x = 10,891,242,473.78/120,138.86
  6. Step 6: Final answer
    x = 90,655.45

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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.