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Finding the Fourth Proportional to 147,951.84, 222,015.20 and 77,836.64

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Solution

The fourth proportional to 147,951.84, 222,015.20 and 77,836.64 is: 116,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,951.84 : 222,015.20 = 77,836.64 : x
  2. Step 2: Convert to fraction form
    147,951.84/222,015.20 = 77,836.64/x
  3. Step 3: Cross multiply
    147,951.84x = 222,015.20 × 77,836.64
  4. Step 4: Simplify right side
    147,951.84x = 17,280,917,196.93
  5. Step 5: Solve for x
    x = 17,280,917,196.93/147,951.84
  6. Step 6: Final answer
    x = 116,800.96

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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.