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Finding the Fourth Proportional to 120,090.59, 165,701.46 and 72,346.57

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Solution

The fourth proportional to 120,090.59, 165,701.46 and 72,346.57 is: 99,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,090.59 : 165,701.46 = 72,346.57 : x
  2. Step 2: Convert to fraction form
    120,090.59/165,701.46 = 72,346.57/x
  3. Step 3: Cross multiply
    120,090.59x = 165,701.46 × 72,346.57
  4. Step 4: Simplify right side
    120,090.59x = 11,987,932,274.99
  5. Step 5: Solve for x
    x = 11,987,932,274.99/120,090.59
  6. Step 6: Final answer
    x = 99,824.08

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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.