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Finding the Fourth Proportional to 120,130.92, 165,781.08 and 65,684.16

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Solution

The fourth proportional to 120,130.92, 165,781.08 and 65,684.16 is: 90,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,130.92 : 165,781.08 = 65,684.16 : x
  2. Step 2: Convert to fraction form
    120,130.92/165,781.08 = 65,684.16/x
  3. Step 3: Cross multiply
    120,130.92x = 165,781.08 × 65,684.16
  4. Step 4: Simplify right side
    120,130.92x = 10,889,190,983.69
  5. Step 5: Solve for x
    x = 10,889,190,983.69/120,130.92
  6. Step 6: Final answer
    x = 90,644.37

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1.5x scale

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.