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Finding the Fourth Proportional to 139,484.48, 209,176 and 76,351.20

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Solution

The fourth proportional to 139,484.48, 209,176 and 76,351.20 is: 114,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,484.48 : 209,176 = 76,351.20 : x
  2. Step 2: Convert to fraction form
    139,484.48/209,176 = 76,351.20/x
  3. Step 3: Cross multiply
    139,484.48x = 209,176 × 76,351.20
  4. Step 4: Simplify right side
    139,484.48x = 15,970,838,611.20
  5. Step 5: Solve for x
    x = 15,970,838,611.20/139,484.48
  6. Step 6: Final answer
    x = 114,499.04

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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.