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Finding the Fourth Proportional to 103,697.15, 155,545.73 and 51,209.15

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Solution

The fourth proportional to 103,697.15, 155,545.73 and 51,209.15 is: 76,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697.15 : 155,545.73 = 51,209.15 : x
  2. Step 2: Convert to fraction form
    103,697.15/155,545.73 = 51,209.15/x
  3. Step 3: Cross multiply
    103,697.15x = 155,545.73 × 51,209.15
  4. Step 4: Simplify right side
    103,697.15x = 7,965,364,619.43
  5. Step 5: Solve for x
    x = 7,965,364,619.43/103,697.15
  6. Step 6: Final answer
    x = 76,813.73

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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.