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Finding the Fourth Proportional to 99,751.92, 149,598.66 and 82,178.16

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Solution

The fourth proportional to 99,751.92, 149,598.66 and 82,178.16 is: 123,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,751.92 : 149,598.66 = 82,178.16 : x
  2. Step 2: Convert to fraction form
    99,751.92/149,598.66 = 82,178.16/x
  3. Step 3: Cross multiply
    99,751.92x = 149,598.66 × 82,178.16
  4. Step 4: Simplify right side
    99,751.92x = 12,293,742,617.27
  5. Step 5: Solve for x
    x = 12,293,742,617.27/99,751.92
  6. Step 6: Final answer
    x = 123,243.17

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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.