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Finding the Fourth Proportional to 257,099.78, 385,899.04 and 124,073.68

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Solution

The fourth proportional to 257,099.78, 385,899.04 and 124,073.68 is: 186,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,099.78 : 385,899.04 = 124,073.68 : x
  2. Step 2: Convert to fraction form
    257,099.78/385,899.04 = 124,073.68/x
  3. Step 3: Cross multiply
    257,099.78x = 385,899.04 × 124,073.68
  4. Step 4: Simplify right side
    257,099.78x = 47,879,914,001.27
  5. Step 5: Solve for x
    x = 47,879,914,001.27/257,099.78
  6. Step 6: Final answer
    x = 186,230.86

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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.