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Finding the Fourth Proportional to 103,633.65, 155,191.27 and 82,897.65

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Solution

The fourth proportional to 103,633.65, 155,191.27 and 82,897.65 is: 124,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633.65 : 155,191.27 = 82,897.65 : x
  2. Step 2: Convert to fraction form
    103,633.65/155,191.27 = 82,897.65/x
  3. Step 3: Cross multiply
    103,633.65x = 155,191.27 × 82,897.65
  4. Step 4: Simplify right side
    103,633.65x = 12,864,991,583.52
  5. Step 5: Solve for x
    x = 12,864,991,583.52/103,633.65
  6. Step 6: Final answer
    x = 124,139.13

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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.