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Finding the Fourth Proportional to 79,228.76, 109,336.92 and 47,399

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Solution

The fourth proportional to 79,228.76, 109,336.92 and 47,399 is: 65,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,228.76 : 109,336.92 = 47,399 : x
  2. Step 2: Convert to fraction form
    79,228.76/109,336.92 = 47,399/x
  3. Step 3: Cross multiply
    79,228.76x = 109,336.92 × 47,399
  4. Step 4: Simplify right side
    79,228.76x = 5,182,460,671.08
  5. Step 5: Solve for x
    x = 5,182,460,671.08/79,228.76
  6. Step 6: Final answer
    x = 65,411.36

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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.