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Finding the Fourth Proportional to 257,120.96, 385,930.21 and 124,094.87

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Solution

The fourth proportional to 257,120.96, 385,930.21 and 124,094.87 is: 186,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,120.96 : 385,930.21 = 124,094.87 : x
  2. Step 2: Convert to fraction form
    257,120.96/385,930.21 = 124,094.87/x
  3. Step 3: Cross multiply
    257,120.96x = 385,930.21 × 124,094.87
  4. Step 4: Simplify right side
    257,120.96x = 47,891,959,239.02
  5. Step 5: Solve for x
    x = 47,891,959,239.02/257,120.96
  6. Step 6: Final answer
    x = 186,262.37

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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.