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Finding the Fourth Proportional to 109,872.92, 164,808.16 and 83,381.64

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Solution

The fourth proportional to 109,872.92, 164,808.16 and 83,381.64 is: 125,071.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,872.92 : 164,808.16 = 83,381.64 : x
  2. Step 2: Convert to fraction form
    109,872.92/164,808.16 = 83,381.64/x
  3. Step 3: Cross multiply
    109,872.92x = 164,808.16 × 83,381.64
  4. Step 4: Simplify right side
    109,872.92x = 13,741,974,666.18
  5. Step 5: Solve for x
    x = 13,741,974,666.18/109,872.92
  6. Step 6: Final answer
    x = 125,071.53

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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.