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Finding the Fourth Proportional to 256,079.68, 353,392.64 and 142,900

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Solution

The fourth proportional to 256,079.68, 353,392.64 and 142,900 is: 197,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,079.68 : 353,392.64 = 142,900 : x
  2. Step 2: Convert to fraction form
    256,079.68/353,392.64 = 142,900/x
  3. Step 3: Cross multiply
    256,079.68x = 353,392.64 × 142,900
  4. Step 4: Simplify right side
    256,079.68x = 50,499,808,256
  5. Step 5: Solve for x
    x = 50,499,808,256/256,079.68
  6. Step 6: Final answer
    x = 197,203.50

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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.