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Finding the Fourth Proportional to 131,808, 197,712.96 and 33,312

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Solution

The fourth proportional to 131,808, 197,712.96 and 33,312 is: 49,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,808 : 197,712.96 = 33,312 : x
  2. Step 2: Convert to fraction form
    131,808/197,712.96 = 33,312/x
  3. Step 3: Cross multiply
    131,808x = 197,712.96 × 33,312
  4. Step 4: Simplify right side
    131,808x = 6,586,214,123.52
  5. Step 5: Solve for x
    x = 6,586,214,123.52/131,808
  6. Step 6: Final answer
    x = 49,968.24

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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.