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Finding the Fourth Proportional to 257,129.43, 385,942.92 and 124,103.34

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Solution

The fourth proportional to 257,129.43, 385,942.92 and 124,103.34 is: 186,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,129.43 : 385,942.92 = 124,103.34 : x
  2. Step 2: Convert to fraction form
    257,129.43/385,942.92 = 124,103.34/x
  3. Step 3: Cross multiply
    257,129.43x = 385,942.92 × 124,103.34
  4. Step 4: Simplify right side
    257,129.43x = 47,896,805,421.35
  5. Step 5: Solve for x
    x = 47,896,805,421.35/257,129.43
  6. Step 6: Final answer
    x = 186,275.08

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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.