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Finding the Fourth Proportional to 103,450, 155,184 and 28,570.24

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Solution

The fourth proportional to 103,450, 155,184 and 28,570.24 is: 42,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,450 : 155,184 = 28,570.24 : x
  2. Step 2: Convert to fraction form
    103,450/155,184 = 28,570.24/x
  3. Step 3: Cross multiply
    103,450x = 155,184 × 28,570.24
  4. Step 4: Simplify right side
    103,450x = 4,433,644,124.16
  5. Step 5: Solve for x
    x = 4,433,644,124.16/103,450
  6. Step 6: Final answer
    x = 42,857.85

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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.