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Finding the Fourth Proportional to 78,358.84, 108,181.34 and 47,743.48

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Solution

The fourth proportional to 78,358.84, 108,181.34 and 47,743.48 is: 65,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,358.84 : 108,181.34 = 47,743.48 : x
  2. Step 2: Convert to fraction form
    78,358.84/108,181.34 = 47,743.48/x
  3. Step 3: Cross multiply
    78,358.84x = 108,181.34 × 47,743.48
  4. Step 4: Simplify right side
    78,358.84x = 5,164,953,491.57
  5. Step 5: Solve for x
    x = 5,164,953,491.57/78,358.84
  6. Step 6: Final answer
    x = 65,914.12

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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.