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Finding the Fourth Proportional to 139,467.68, 209,231.16 and 39,658.40

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Solution

The fourth proportional to 139,467.68, 209,231.16 and 39,658.40 is: 59,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,467.68 : 209,231.16 = 39,658.40 : x
  2. Step 2: Convert to fraction form
    139,467.68/209,231.16 = 39,658.40/x
  3. Step 3: Cross multiply
    139,467.68x = 209,231.16 × 39,658.40
  4. Step 4: Simplify right side
    139,467.68x = 8,297,773,035.74
  5. Step 5: Solve for x
    x = 8,297,773,035.74/139,467.68
  6. Step 6: Final answer
    x = 59,496.03

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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.