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Finding the Fourth Proportional to 105,711.93, 158,460.44 and 66,296.52

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Solution

The fourth proportional to 105,711.93, 158,460.44 and 66,296.52 is: 99,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,711.93 : 158,460.44 = 66,296.52 : x
  2. Step 2: Convert to fraction form
    105,711.93/158,460.44 = 66,296.52/x
  3. Step 3: Cross multiply
    105,711.93x = 158,460.44 × 66,296.52
  4. Step 4: Simplify right side
    105,711.93x = 10,505,375,398.19
  5. Step 5: Solve for x
    x = 10,505,375,398.19/105,711.93
  6. Step 6: Final answer
    x = 99,377.39

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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.