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Finding the Fourth Proportional to 114,245.90, 171,398.42 and 66,901

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Solution

The fourth proportional to 114,245.90, 171,398.42 and 66,901 is: 100,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,245.90 : 171,398.42 = 66,901 : x
  2. Step 2: Convert to fraction form
    114,245.90/171,398.42 = 66,901/x
  3. Step 3: Cross multiply
    114,245.90x = 171,398.42 × 66,901
  4. Step 4: Simplify right side
    114,245.90x = 11,466,725,696.42
  5. Step 5: Solve for x
    x = 11,466,725,696.42/114,245.90
  6. Step 6: Final answer
    x = 100,368.82

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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.