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Finding the Fourth Proportional to 260,161.95, 390,159.87 and 82,627.44

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Solution

The fourth proportional to 260,161.95, 390,159.87 and 82,627.44 is: 123,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,161.95 : 390,159.87 = 82,627.44 : x
  2. Step 2: Convert to fraction form
    260,161.95/390,159.87 = 82,627.44/x
  3. Step 3: Cross multiply
    260,161.95x = 390,159.87 × 82,627.44
  4. Step 4: Simplify right side
    260,161.95x = 32,237,911,248.83
  5. Step 5: Solve for x
    x = 32,237,911,248.83/260,161.95
  6. Step 6: Final answer
    x = 123,914.78

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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.