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Finding the Fourth Proportional to 105,709.38, 145,955.48 and 68,049.24

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Solution

The fourth proportional to 105,709.38, 145,955.48 and 68,049.24 is: 93,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,709.38 : 145,955.48 = 68,049.24 : x
  2. Step 2: Convert to fraction form
    105,709.38/145,955.48 = 68,049.24/x
  3. Step 3: Cross multiply
    105,709.38x = 145,955.48 × 68,049.24
  4. Step 4: Simplify right side
    105,709.38x = 9,932,159,487.84
  5. Step 5: Solve for x
    x = 9,932,159,487.84/105,709.38
  6. Step 6: Final answer
    x = 93,957.22

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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.