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Finding the Fourth Proportional to 102,766, 154,149.06 and 28,894

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Solution

The fourth proportional to 102,766, 154,149.06 and 28,894 is: 43,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,766 : 154,149.06 = 28,894 : x
  2. Step 2: Convert to fraction form
    102,766/154,149.06 = 28,894/x
  3. Step 3: Cross multiply
    102,766x = 154,149.06 × 28,894
  4. Step 4: Simplify right side
    102,766x = 4,453,982,939.64
  5. Step 5: Solve for x
    x = 4,453,982,939.64/102,766
  6. Step 6: Final answer
    x = 43,341.02

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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.