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Finding the Fourth Proportional to 260,182.76, 390,163.80 and 82,642.28

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Solution

The fourth proportional to 260,182.76, 390,163.80 and 82,642.28 is: 123,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,182.76 : 390,163.80 = 82,642.28 : x
  2. Step 2: Convert to fraction form
    260,182.76/390,163.80 = 82,642.28/x
  3. Step 3: Cross multiply
    260,182.76x = 390,163.80 × 82,642.28
  4. Step 4: Simplify right side
    260,182.76x = 32,244,026,005.46
  5. Step 5: Solve for x
    x = 32,244,026,005.46/260,182.76
  6. Step 6: Final answer
    x = 123,928.37

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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.