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Finding the Fourth Proportional to 78,422.67, 117,568.26 and 54,660.51

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Solution

The fourth proportional to 78,422.67, 117,568.26 and 54,660.51 is: 81,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,422.67 : 117,568.26 = 54,660.51 : x
  2. Step 2: Convert to fraction form
    78,422.67/117,568.26 = 54,660.51/x
  3. Step 3: Cross multiply
    78,422.67x = 117,568.26 × 54,660.51
  4. Step 4: Simplify right side
    78,422.67x = 6,426,341,051.41
  5. Step 5: Solve for x
    x = 6,426,341,051.41/78,422.67
  6. Step 6: Final answer
    x = 81,944.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.