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Finding the Fourth Proportional to 257,505.92, 355,374.60 and 142,797.68

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Solution

The fourth proportional to 257,505.92, 355,374.60 and 142,797.68 is: 197,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,505.92 : 355,374.60 = 142,797.68 : x
  2. Step 2: Convert to fraction form
    257,505.92/355,374.60 = 142,797.68/x
  3. Step 3: Cross multiply
    257,505.92x = 355,374.60 × 142,797.68
  4. Step 4: Simplify right side
    257,505.92x = 50,746,668,410.93
  5. Step 5: Solve for x
    x = 50,746,668,410.93/257,505.92
  6. Step 6: Final answer
    x = 197,069.91

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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.