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Finding the Fourth Proportional to 105,793.92, 145,972.80 and 61,056

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Solution

The fourth proportional to 105,793.92, 145,972.80 and 61,056 is: 84,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,793.92 : 145,972.80 = 61,056 : x
  2. Step 2: Convert to fraction form
    105,793.92/145,972.80 = 61,056/x
  3. Step 3: Cross multiply
    105,793.92x = 145,972.80 × 61,056
  4. Step 4: Simplify right side
    105,793.92x = 8,912,515,276.80
  5. Step 5: Solve for x
    x = 8,912,515,276.80/105,793.92
  6. Step 6: Final answer
    x = 84,244.12

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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.