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Finding the Fourth Proportional to 106,611.83, 159,523.14 and 85,487.30

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Solution

The fourth proportional to 106,611.83, 159,523.14 and 85,487.30 is: 127,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,611.83 : 159,523.14 = 85,487.30 : x
  2. Step 2: Convert to fraction form
    106,611.83/159,523.14 = 85,487.30/x
  3. Step 3: Cross multiply
    106,611.83x = 159,523.14 × 85,487.30
  4. Step 4: Simplify right side
    106,611.83x = 13,637,202,526.12
  5. Step 5: Solve for x
    x = 13,637,202,526.12/106,611.83
  6. Step 6: Final answer
    x = 127,914.53

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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.