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Finding the Fourth Proportional to 151,478.82, 208,963.95 and 115,606.55

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Solution

The fourth proportional to 151,478.82, 208,963.95 and 115,606.55 is: 159,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,478.82 : 208,963.95 = 115,606.55 : x
  2. Step 2: Convert to fraction form
    151,478.82/208,963.95 = 115,606.55/x
  3. Step 3: Cross multiply
    151,478.82x = 208,963.95 × 115,606.55
  4. Step 4: Simplify right side
    151,478.82x = 24,157,601,139.33
  5. Step 5: Solve for x
    x = 24,157,601,139.33/151,478.82
  6. Step 6: Final answer
    x = 159,478.41

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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.