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Finding the Fourth Proportional to 123,659.70, 185,297.72 and 85,782.93

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Solution

The fourth proportional to 123,659.70, 185,297.72 and 85,782.93 is: 128,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,659.70 : 185,297.72 = 85,782.93 : x
  2. Step 2: Convert to fraction form
    123,659.70/185,297.72 = 85,782.93/x
  3. Step 3: Cross multiply
    123,659.70x = 185,297.72 × 85,782.93
  4. Step 4: Simplify right side
    123,659.70x = 15,895,380,915.00
  5. Step 5: Solve for x
    x = 15,895,380,915.00/123,659.70
  6. Step 6: Final answer
    x = 128,541.32

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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.