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Finding the Fourth Proportional to 258,586.48, 387,863.59 and 123,746.30

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Solution

The fourth proportional to 258,586.48, 387,863.59 and 123,746.30 is: 185,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,586.48 : 387,863.59 = 123,746.30 : x
  2. Step 2: Convert to fraction form
    258,586.48/387,863.59 = 123,746.30/x
  3. Step 3: Cross multiply
    258,586.48x = 387,863.59 × 123,746.30
  4. Step 4: Simplify right side
    258,586.48x = 47,996,684,167.22
  5. Step 5: Solve for x
    x = 47,996,684,167.22/258,586.48
  6. Step 6: Final answer
    x = 185,611.73

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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.