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Finding the Fourth Proportional to 260,082.91, 389,419.93 and 135,161.47

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Solution

The fourth proportional to 260,082.91, 389,419.93 and 135,161.47 is: 202,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,082.91 : 389,419.93 = 135,161.47 : x
  2. Step 2: Convert to fraction form
    260,082.91/389,419.93 = 135,161.47/x
  3. Step 3: Cross multiply
    260,082.91x = 389,419.93 × 135,161.47
  4. Step 4: Simplify right side
    260,082.91x = 52,634,570,186.10
  5. Step 5: Solve for x
    x = 52,634,570,186.10/260,082.91
  6. Step 6: Final answer
    x = 202,376.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.