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Finding the Fourth Proportional to 257,834.92, 386,392.70 and 139,250.92

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Solution

The fourth proportional to 257,834.92, 386,392.70 and 139,250.92 is: 208,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,834.92 : 386,392.70 = 139,250.92 : x
  2. Step 2: Convert to fraction form
    257,834.92/386,392.70 = 139,250.92/x
  3. Step 3: Cross multiply
    257,834.92x = 386,392.70 × 139,250.92
  4. Step 4: Simplify right side
    257,834.92x = 53,805,538,956.28
  5. Step 5: Solve for x
    x = 53,805,538,956.28/257,834.92
  6. Step 6: Final answer
    x = 208,682.12

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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.