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Finding the Fourth Proportional to 228,119.70, 342,147.15 and 78,366.90

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Solution

The fourth proportional to 228,119.70, 342,147.15 and 78,366.90 is: 117,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,119.70 : 342,147.15 = 78,366.90 : x
  2. Step 2: Convert to fraction form
    228,119.70/342,147.15 = 78,366.90/x
  3. Step 3: Cross multiply
    228,119.70x = 342,147.15 × 78,366.90
  4. Step 4: Simplify right side
    228,119.70x = 26,813,011,489.34
  5. Step 5: Solve for x
    x = 26,813,011,489.34/228,119.70
  6. Step 6: Final answer
    x = 117,539.22

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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.