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Finding the Fourth Proportional to 258,714.72, 388,136.66 and 90,237.46

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Solution

The fourth proportional to 258,714.72, 388,136.66 and 90,237.46 is: 135,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,714.72 : 388,136.66 = 90,237.46 : x
  2. Step 2: Convert to fraction form
    258,714.72/388,136.66 = 90,237.46/x
  3. Step 3: Cross multiply
    258,714.72x = 388,136.66 × 90,237.46
  4. Step 4: Simplify right side
    258,714.72x = 35,024,466,331.28
  5. Step 5: Solve for x
    x = 35,024,466,331.28/258,714.72
  6. Step 6: Final answer
    x = 135,378.71

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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.