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Finding the Fourth Proportional to 105,452.66, 158,012.54 and 85,634.80

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Solution

The fourth proportional to 105,452.66, 158,012.54 and 85,634.80 is: 128,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452.66 : 158,012.54 = 85,634.80 : x
  2. Step 2: Convert to fraction form
    105,452.66/158,012.54 = 85,634.80/x
  3. Step 3: Cross multiply
    105,452.66x = 158,012.54 × 85,634.80
  4. Step 4: Simplify right side
    105,452.66x = 13,531,372,260.39
  5. Step 5: Solve for x
    x = 13,531,372,260.39/105,452.66
  6. Step 6: Final answer
    x = 128,317.03

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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.