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Finding the Fourth Proportional to 151,094.50, 208,515 and 83,107.96

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Solution

The fourth proportional to 151,094.50, 208,515 and 83,107.96 is: 114,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,094.50 : 208,515 = 83,107.96 : x
  2. Step 2: Convert to fraction form
    151,094.50/208,515 = 83,107.96/x
  3. Step 3: Cross multiply
    151,094.50x = 208,515 × 83,107.96
  4. Step 4: Simplify right side
    151,094.50x = 17,329,256,279.40
  5. Step 5: Solve for x
    x = 17,329,256,279.40/151,094.50
  6. Step 6: Final answer
    x = 114,691.51

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