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Finding the Fourth Proportional to 260,136.76, 390,025.84 and 102,383.32

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Solution

The fourth proportional to 260,136.76, 390,025.84 and 102,383.32 is: 153,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,136.76 : 390,025.84 = 102,383.32 : x
  2. Step 2: Convert to fraction form
    260,136.76/390,025.84 = 102,383.32/x
  3. Step 3: Cross multiply
    260,136.76x = 390,025.84 × 102,383.32
  4. Step 4: Simplify right side
    260,136.76x = 39,932,140,384.99
  5. Step 5: Solve for x
    x = 39,932,140,384.99/260,136.76
  6. Step 6: Final answer
    x = 153,504.41

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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.