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Finding the Fourth Proportional to 260,037.51, 390,104.51 and 82,496.55

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Solution

The fourth proportional to 260,037.51, 390,104.51 and 82,496.55 is: 123,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,037.51 : 390,104.51 = 82,496.55 : x
  2. Step 2: Convert to fraction form
    260,037.51/390,104.51 = 82,496.55/x
  3. Step 3: Cross multiply
    260,037.51x = 390,104.51 × 82,496.55
  4. Step 4: Simplify right side
    260,037.51x = 32,182,276,214.44
  5. Step 5: Solve for x
    x = 32,182,276,214.44/260,037.51
  6. Step 6: Final answer
    x = 123,760.13

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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.