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Finding the Fourth Proportional to 123,832.80, 170,877.60 and 85,633.20

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Solution

The fourth proportional to 123,832.80, 170,877.60 and 85,633.20 is: 118,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,832.80 : 170,877.60 = 85,633.20 : x
  2. Step 2: Convert to fraction form
    123,832.80/170,877.60 = 85,633.20/x
  3. Step 3: Cross multiply
    123,832.80x = 170,877.60 × 85,633.20
  4. Step 4: Simplify right side
    123,832.80x = 14,632,795,696.32
  5. Step 5: Solve for x
    x = 14,632,795,696.32/123,832.80
  6. Step 6: Final answer
    x = 118,165.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.