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Finding the Fourth Proportional to 81,842, 112,942.08 and 48,308

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Solution

The fourth proportional to 81,842, 112,942.08 and 48,308 is: 66,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842 : 112,942.08 = 48,308 : x
  2. Step 2: Convert to fraction form
    81,842/112,942.08 = 48,308/x
  3. Step 3: Cross multiply
    81,842x = 112,942.08 × 48,308
  4. Step 4: Simplify right side
    81,842x = 5,456,006,000.64
  5. Step 5: Solve for x
    x = 5,456,006,000.64/81,842
  6. Step 6: Final answer
    x = 66,665.11

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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.