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Finding the Fourth Proportional to 100,855.10, 151,282.65 and 65,863.10

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Solution

The fourth proportional to 100,855.10, 151,282.65 and 65,863.10 is: 98,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,855.10 : 151,282.65 = 65,863.10 : x
  2. Step 2: Convert to fraction form
    100,855.10/151,282.65 = 65,863.10/x
  3. Step 3: Cross multiply
    100,855.10x = 151,282.65 × 65,863.10
  4. Step 4: Simplify right side
    100,855.10x = 9,963,944,305.22
  5. Step 5: Solve for x
    x = 9,963,944,305.22/100,855.10
  6. Step 6: Final answer
    x = 98,794.65

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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.