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Finding the Fourth Proportional to 103,454.21, 155,178.24 and 28,578.86

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Solution

The fourth proportional to 103,454.21, 155,178.24 and 28,578.86 is: 42,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,454.21 : 155,178.24 = 28,578.86 : x
  2. Step 2: Convert to fraction form
    103,454.21/155,178.24 = 28,578.86/x
  3. Step 3: Cross multiply
    103,454.21x = 155,178.24 × 28,578.86
  4. Step 4: Simplify right side
    103,454.21x = 4,434,816,420.12
  5. Step 5: Solve for x
    x = 4,434,816,420.12/103,454.21
  6. Step 6: Final answer
    x = 42,867.44

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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.