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Finding the Fourth Proportional to 105,833.76, 158,760 and 39,274.64

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Solution

The fourth proportional to 105,833.76, 158,760 and 39,274.64 is: 58,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,833.76 : 158,760 = 39,274.64 : x
  2. Step 2: Convert to fraction form
    105,833.76/158,760 = 39,274.64/x
  3. Step 3: Cross multiply
    105,833.76x = 158,760 × 39,274.64
  4. Step 4: Simplify right side
    105,833.76x = 6,235,241,846.40
  5. Step 5: Solve for x
    x = 6,235,241,846.40/105,833.76
  6. Step 6: Final answer
    x = 58,915.43

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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.