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Finding the Fourth Proportional to 105,964.48, 158,798.92 and 79,638.40

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Solution

The fourth proportional to 105,964.48, 158,798.92 and 79,638.40 is: 119,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,964.48 : 158,798.92 = 79,638.40 : x
  2. Step 2: Convert to fraction form
    105,964.48/158,798.92 = 79,638.40/x
  3. Step 3: Cross multiply
    105,964.48x = 158,798.92 × 79,638.40
  4. Step 4: Simplify right side
    105,964.48x = 12,646,491,910.53
  5. Step 5: Solve for x
    x = 12,646,491,910.53/105,964.48
  6. Step 6: Final answer
    x = 119,346.52

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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.