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Finding the Fourth Proportional to 105,753.74, 145,910.58 and 68,049.86

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Solution

The fourth proportional to 105,753.74, 145,910.58 and 68,049.86 is: 93,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,753.74 : 145,910.58 = 68,049.86 : x
  2. Step 2: Convert to fraction form
    105,753.74/145,910.58 = 68,049.86/x
  3. Step 3: Cross multiply
    105,753.74x = 145,910.58 × 68,049.86
  4. Step 4: Simplify right side
    105,753.74x = 9,929,194,541.52
  5. Step 5: Solve for x
    x = 9,929,194,541.52/105,753.74
  6. Step 6: Final answer
    x = 93,889.77

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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.