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Finding the Fourth Proportional to 78,046.74, 117,056.90 and 21,873.92

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Solution

The fourth proportional to 78,046.74, 117,056.90 and 21,873.92 is: 32,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,046.74 : 117,056.90 = 21,873.92 : x
  2. Step 2: Convert to fraction form
    78,046.74/117,056.90 = 21,873.92/x
  3. Step 3: Cross multiply
    78,046.74x = 117,056.90 × 21,873.92
  4. Step 4: Simplify right side
    78,046.74x = 2,560,492,735.45
  5. Step 5: Solve for x
    x = 2,560,492,735.45/78,046.74
  6. Step 6: Final answer
    x = 32,807.17

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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.