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Finding the Fourth Proportional to 260,645.76, 390,777.28 and 83,050.56

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Solution

The fourth proportional to 260,645.76, 390,777.28 and 83,050.56 is: 124,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,645.76 : 390,777.28 = 83,050.56 : x
  2. Step 2: Convert to fraction form
    260,645.76/390,777.28 = 83,050.56/x
  3. Step 3: Cross multiply
    260,645.76x = 390,777.28 × 83,050.56
  4. Step 4: Simplify right side
    260,645.76x = 32,454,271,939.28
  5. Step 5: Solve for x
    x = 32,454,271,939.28/260,645.76
  6. Step 6: Final answer
    x = 124,514.87

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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.