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Finding the Fourth Proportional to 265,089.96, 397,884.06 and 138,820.80

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Solution

The fourth proportional to 265,089.96, 397,884.06 and 138,820.80 is: 208,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,089.96 : 397,884.06 = 138,820.80 : x
  2. Step 2: Convert to fraction form
    265,089.96/397,884.06 = 138,820.80/x
  3. Step 3: Cross multiply
    265,089.96x = 397,884.06 × 138,820.80
  4. Step 4: Simplify right side
    265,089.96x = 55,234,583,516.45
  5. Step 5: Solve for x
    x = 55,234,583,516.45/265,089.96
  6. Step 6: Final answer
    x = 208,361.66

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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.