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Finding the Fourth Proportional to 129,382.92, 193,918.86 and 70,216.20

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Solution

The fourth proportional to 129,382.92, 193,918.86 and 70,216.20 is: 105,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,382.92 : 193,918.86 = 70,216.20 : x
  2. Step 2: Convert to fraction form
    129,382.92/193,918.86 = 70,216.20/x
  3. Step 3: Cross multiply
    129,382.92x = 193,918.86 × 70,216.20
  4. Step 4: Simplify right side
    129,382.92x = 13,616,245,457.53
  5. Step 5: Solve for x
    x = 13,616,245,457.53/129,382.92
  6. Step 6: Final answer
    x = 105,239.90

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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.