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Finding the Fourth Proportional to 256,080.68, 353,394.02 and 142,901

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Solution

The fourth proportional to 256,080.68, 353,394.02 and 142,901 is: 197,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,080.68 : 353,394.02 = 142,901 : x
  2. Step 2: Convert to fraction form
    256,080.68/353,394.02 = 142,901/x
  3. Step 3: Cross multiply
    256,080.68x = 353,394.02 × 142,901
  4. Step 4: Simplify right side
    256,080.68x = 50,500,358,852.02
  5. Step 5: Solve for x
    x = 50,500,358,852.02/256,080.68
  6. Step 6: Final answer
    x = 197,204.88

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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.