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Finding the Fourth Proportional to 102,766.32, 154,149.84 and 28,894.32

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Solution

The fourth proportional to 102,766.32, 154,149.84 and 28,894.32 is: 43,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,766.32 : 154,149.84 = 28,894.32 : x
  2. Step 2: Convert to fraction form
    102,766.32/154,149.84 = 28,894.32/x
  3. Step 3: Cross multiply
    102,766.32x = 154,149.84 × 28,894.32
  4. Step 4: Simplify right side
    102,766.32x = 4,454,054,804.91
  5. Step 5: Solve for x
    x = 4,454,054,804.91/102,766.32
  6. Step 6: Final answer
    x = 43,341.58

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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.