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Finding the Fourth Proportional to 257,680.77, 355,601.60 and 142,966.94

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Solution

The fourth proportional to 257,680.77, 355,601.60 and 142,966.94 is: 197,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,680.77 : 355,601.60 = 142,966.94 : x
  2. Step 2: Convert to fraction form
    257,680.77/355,601.60 = 142,966.94/x
  3. Step 3: Cross multiply
    257,680.77x = 355,601.60 × 142,966.94
  4. Step 4: Simplify right side
    257,680.77x = 50,839,272,611.10
  5. Step 5: Solve for x
    x = 50,839,272,611.10/257,680.77
  6. Step 6: Final answer
    x = 197,295.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.