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Finding the Fourth Proportional to 79,182, 109,267.96 and 47,368.48

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Solution

The fourth proportional to 79,182, 109,267.96 and 47,368.48 is: 65,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,182 : 109,267.96 = 47,368.48 : x
  2. Step 2: Convert to fraction form
    79,182/109,267.96 = 47,368.48/x
  3. Step 3: Cross multiply
    79,182x = 109,267.96 × 47,368.48
  4. Step 4: Simplify right side
    79,182x = 5,175,857,177.90
  5. Step 5: Solve for x
    x = 5,175,857,177.90/79,182
  6. Step 6: Final answer
    x = 65,366.59

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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.