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Finding the Fourth Proportional to 102,772, 154,158.06 and 28,900

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Solution

The fourth proportional to 102,772, 154,158.06 and 28,900 is: 43,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,772 : 154,158.06 = 28,900 : x
  2. Step 2: Convert to fraction form
    102,772/154,158.06 = 28,900/x
  3. Step 3: Cross multiply
    102,772x = 154,158.06 × 28,900
  4. Step 4: Simplify right side
    102,772x = 4,455,167,934
  5. Step 5: Solve for x
    x = 4,455,167,934/102,772
  6. Step 6: Final answer
    x = 43,350.02

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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.