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Finding the Fourth Proportional to 260,081.87, 390,136.31 and 82,602.77

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Solution

The fourth proportional to 260,081.87, 390,136.31 and 82,602.77 is: 123,908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,081.87 : 390,136.31 = 82,602.77 : x
  2. Step 2: Convert to fraction form
    260,081.87/390,136.31 = 82,602.77/x
  3. Step 3: Cross multiply
    260,081.87x = 390,136.31 × 82,602.77
  4. Step 4: Simplify right side
    260,081.87x = 32,226,341,065.43
  5. Step 5: Solve for x
    x = 32,226,341,065.43/260,081.87
  6. Step 6: Final answer
    x = 123,908.45

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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.