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Finding the Fourth Proportional to 99,635.95, 149,350.11 and 43,460.97

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Solution

The fourth proportional to 99,635.95, 149,350.11 and 43,460.97 is: 65,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,635.95 : 149,350.11 = 43,460.97 : x
  2. Step 2: Convert to fraction form
    99,635.95/149,350.11 = 43,460.97/x
  3. Step 3: Cross multiply
    99,635.95x = 149,350.11 × 43,460.97
  4. Step 4: Simplify right side
    99,635.95x = 6,490,900,650.21
  5. Step 5: Solve for x
    x = 6,490,900,650.21/99,635.95
  6. Step 6: Final answer
    x = 65,146.17

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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.