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Finding the Fourth Proportional to 103,616.65, 155,165.78 and 82,880.65

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Solution

The fourth proportional to 103,616.65, 155,165.78 and 82,880.65 is: 124,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,616.65 : 155,165.78 = 82,880.65 : x
  2. Step 2: Convert to fraction form
    103,616.65/155,165.78 = 82,880.65/x
  3. Step 3: Cross multiply
    103,616.65x = 155,165.78 × 82,880.65
  4. Step 4: Simplify right side
    103,616.65x = 12,860,240,289.75
  5. Step 5: Solve for x
    x = 12,860,240,289.75/103,616.65
  6. Step 6: Final answer
    x = 124,113.65

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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.