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Finding the Fourth Proportional to 103,622.65, 155,174.77 and 82,886.65

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Solution

The fourth proportional to 103,622.65, 155,174.77 and 82,886.65 is: 124,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,622.65 : 155,174.77 = 82,886.65 : x
  2. Step 2: Convert to fraction form
    103,622.65/155,174.77 = 82,886.65/x
  3. Step 3: Cross multiply
    103,622.65x = 155,174.77 × 82,886.65
  4. Step 4: Simplify right side
    103,622.65x = 12,861,916,849.82
  5. Step 5: Solve for x
    x = 12,861,916,849.82/103,622.65
  6. Step 6: Final answer
    x = 124,122.64

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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.