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Finding the Fourth Proportional to 151,424.64, 208,963.20 and 83,447.92

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Solution

The fourth proportional to 151,424.64, 208,963.20 and 83,447.92 is: 115,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,424.64 : 208,963.20 = 83,447.92 : x
  2. Step 2: Convert to fraction form
    151,424.64/208,963.20 = 83,447.92/x
  3. Step 3: Cross multiply
    151,424.64x = 208,963.20 × 83,447.92
  4. Step 4: Simplify right side
    151,424.64x = 17,437,544,396.54
  5. Step 5: Solve for x
    x = 17,437,544,396.54/151,424.64
  6. Step 6: Final answer
    x = 115,156.58

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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.