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Finding the Fourth Proportional to 102,802, 154,205.72 and 32,681.28

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Solution

The fourth proportional to 102,802, 154,205.72 and 32,681.28 is: 49,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,802 : 154,205.72 = 32,681.28 : x
  2. Step 2: Convert to fraction form
    102,802/154,205.72 = 32,681.28/x
  3. Step 3: Cross multiply
    102,802x = 154,205.72 × 32,681.28
  4. Step 4: Simplify right side
    102,802x = 5,039,640,312.92
  5. Step 5: Solve for x
    x = 5,039,640,312.92/102,802
  6. Step 6: Final answer
    x = 49,022.78

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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.