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Finding the Fourth Proportional to 147,852, 204,035.76 and 80,784

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Solution

The fourth proportional to 147,852, 204,035.76 and 80,784 is: 111,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,852 : 204,035.76 = 80,784 : x
  2. Step 2: Convert to fraction form
    147,852/204,035.76 = 80,784/x
  3. Step 3: Cross multiply
    147,852x = 204,035.76 × 80,784
  4. Step 4: Simplify right side
    147,852x = 16,482,824,835.84
  5. Step 5: Solve for x
    x = 16,482,824,835.84/147,852
  6. Step 6: Final answer
    x = 111,481.92

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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.