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Finding the Fourth Proportional to 69,989.76, 104,963.10 and 20,056.46

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Solution

The fourth proportional to 69,989.76, 104,963.10 and 20,056.46 is: 30,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,989.76 : 104,963.10 = 20,056.46 : x
  2. Step 2: Convert to fraction form
    69,989.76/104,963.10 = 20,056.46/x
  3. Step 3: Cross multiply
    69,989.76x = 104,963.10 × 20,056.46
  4. Step 4: Simplify right side
    69,989.76x = 2,105,187,691.81
  5. Step 5: Solve for x
    x = 2,105,187,691.81/69,989.76
  6. Step 6: Final answer
    x = 30,078.51

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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.