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Finding the Fourth Proportional to 151,396.54, 208,918.85 and 83,400.14

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Solution

The fourth proportional to 151,396.54, 208,918.85 and 83,400.14 is: 115,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,396.54 : 208,918.85 = 83,400.14 : x
  2. Step 2: Convert to fraction form
    151,396.54/208,918.85 = 83,400.14/x
  3. Step 3: Cross multiply
    151,396.54x = 208,918.85 × 83,400.14
  4. Step 4: Simplify right side
    151,396.54x = 17,423,861,443.94
  5. Step 5: Solve for x
    x = 17,423,861,443.94/151,396.54
  6. Step 6: Final answer
    x = 115,087.58

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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.