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Finding the Fourth Proportional to 299,963.96, 449,946.82 and 86,749.23

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Solution

The fourth proportional to 299,963.96, 449,946.82 and 86,749.23 is: 130,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,963.96 : 449,946.82 = 86,749.23 : x
  2. Step 2: Convert to fraction form
    299,963.96/449,946.82 = 86,749.23/x
  3. Step 3: Cross multiply
    299,963.96x = 449,946.82 × 86,749.23
  4. Step 4: Simplify right side
    299,963.96x = 39,032,539,440.73
  5. Step 5: Solve for x
    x = 39,032,539,440.73/299,963.96
  6. Step 6: Final answer
    x = 130,124.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.