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Finding the Fourth Proportional to 99,242.84, 148,690.92 and 82,709.12

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Solution

The fourth proportional to 99,242.84, 148,690.92 and 82,709.12 is: 123,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,242.84 : 148,690.92 = 82,709.12 : x
  2. Step 2: Convert to fraction form
    99,242.84/148,690.92 = 82,709.12/x
  3. Step 3: Cross multiply
    99,242.84x = 148,690.92 × 82,709.12
  4. Step 4: Simplify right side
    99,242.84x = 12,298,095,145.19
  5. Step 5: Solve for x
    x = 12,298,095,145.19/99,242.84
  6. Step 6: Final answer
    x = 123,919.22

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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.