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Finding the Fourth Proportional to 151,294.38, 208,782.47 and 83,310.81

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Solution

The fourth proportional to 151,294.38, 208,782.47 and 83,310.81 is: 114,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,294.38 : 208,782.47 = 83,310.81 : x
  2. Step 2: Convert to fraction form
    151,294.38/208,782.47 = 83,310.81/x
  3. Step 3: Cross multiply
    151,294.38x = 208,782.47 × 83,310.81
  4. Step 4: Simplify right side
    151,294.38x = 17,393,836,272.95
  5. Step 5: Solve for x
    x = 17,393,836,272.95/151,294.38
  6. Step 6: Final answer
    x = 114,966.84

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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.