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Finding the Fourth Proportional to 258,493.01, 387,664.18 and 100,683.95

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Solution

The fourth proportional to 258,493.01, 387,664.18 and 100,683.95 is: 150,996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,493.01 : 387,664.18 = 100,683.95 : x
  2. Step 2: Convert to fraction form
    258,493.01/387,664.18 = 100,683.95/x
  3. Step 3: Cross multiply
    258,493.01x = 387,664.18 × 100,683.95
  4. Step 4: Simplify right side
    258,493.01x = 39,031,558,725.88
  5. Step 5: Solve for x
    x = 39,031,558,725.88/258,493.01
  6. Step 6: Final answer
    x = 150,996.58

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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.