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Finding the Fourth Proportional to 260,147.70, 390,148.65 and 82,709.10

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Solution

The fourth proportional to 260,147.70, 390,148.65 and 82,709.10 is: 124,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,147.70 : 390,148.65 = 82,709.10 : x
  2. Step 2: Convert to fraction form
    260,147.70/390,148.65 = 82,709.10/x
  3. Step 3: Cross multiply
    260,147.70x = 390,148.65 × 82,709.10
  4. Step 4: Simplify right side
    260,147.70x = 32,268,843,707.72
  5. Step 5: Solve for x
    x = 32,268,843,707.72/260,147.70
  6. Step 6: Final answer
    x = 124,040.47

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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.