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Finding the Fourth Proportional to 257,251.64, 355,009.96 and 142,533.80

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Solution

The fourth proportional to 257,251.64, 355,009.96 and 142,533.80 is: 196,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,251.64 : 355,009.96 = 142,533.80 : x
  2. Step 2: Convert to fraction form
    257,251.64/355,009.96 = 142,533.80/x
  3. Step 3: Cross multiply
    257,251.64x = 355,009.96 × 142,533.80
  4. Step 4: Simplify right side
    257,251.64x = 50,600,918,636.65
  5. Step 5: Solve for x
    x = 50,600,918,636.65/257,251.64
  6. Step 6: Final answer
    x = 196,698.14

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1.5x scale

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.