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Finding the Fourth Proportional to 120,178.93, 165,840.16 and 65,720.29

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Solution

The fourth proportional to 120,178.93, 165,840.16 and 65,720.29 is: 90,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,178.93 : 165,840.16 = 65,720.29 : x
  2. Step 2: Convert to fraction form
    120,178.93/165,840.16 = 65,720.29/x
  3. Step 3: Cross multiply
    120,178.93x = 165,840.16 × 65,720.29
  4. Step 4: Simplify right side
    120,178.93x = 10,899,063,080.25
  5. Step 5: Solve for x
    x = 10,899,063,080.25/120,178.93
  6. Step 6: Final answer
    x = 90,690.30

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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.