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Finding the Fourth Proportional to 99,213.66, 148,828.12 and 28,135.08

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Solution

The fourth proportional to 99,213.66, 148,828.12 and 28,135.08 is: 42,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,213.66 : 148,828.12 = 28,135.08 : x
  2. Step 2: Convert to fraction form
    99,213.66/148,828.12 = 28,135.08/x
  3. Step 3: Cross multiply
    99,213.66x = 148,828.12 × 28,135.08
  4. Step 4: Simplify right side
    99,213.66x = 4,187,290,992.11
  5. Step 5: Solve for x
    x = 4,187,290,992.11/99,213.66
  6. Step 6: Final answer
    x = 42,204.78

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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.