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Finding the Fourth Proportional to 79,192, 109,281.76 and 47,378.40

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Solution

The fourth proportional to 79,192, 109,281.76 and 47,378.40 is: 65,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,192 : 109,281.76 = 47,378.40 : x
  2. Step 2: Convert to fraction form
    79,192/109,281.76 = 47,378.40/x
  3. Step 3: Cross multiply
    79,192x = 109,281.76 × 47,378.40
  4. Step 4: Simplify right side
    79,192x = 5,177,594,937.98
  5. Step 5: Solve for x
    x = 5,177,594,937.98/79,192
  6. Step 6: Final answer
    x = 65,380.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.