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Finding the Fourth Proportional to 103,821.19, 155,751.17 and 71,499.69

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Solution

The fourth proportional to 103,821.19, 155,751.17 and 71,499.69 is: 107,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,821.19 : 155,751.17 = 71,499.69 : x
  2. Step 2: Convert to fraction form
    103,821.19/155,751.17 = 71,499.69/x
  3. Step 3: Cross multiply
    103,821.19x = 155,751.17 × 71,499.69
  4. Step 4: Simplify right side
    103,821.19x = 11,136,160,550.89
  5. Step 5: Solve for x
    x = 11,136,160,550.89/103,821.19
  6. Step 6: Final answer
    x = 107,262.89

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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.