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Finding the Fourth Proportional to 78,132, 107,824.28 and 47,899.92

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Solution

The fourth proportional to 78,132, 107,824.28 and 47,899.92 is: 66,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,132 : 107,824.28 = 47,899.92 : x
  2. Step 2: Convert to fraction form
    78,132/107,824.28 = 47,899.92/x
  3. Step 3: Cross multiply
    78,132x = 107,824.28 × 47,899.92
  4. Step 4: Simplify right side
    78,132x = 5,164,774,146.56
  5. Step 5: Solve for x
    x = 5,164,774,146.56/78,132
  6. Step 6: Final answer
    x = 66,103.19

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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.