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Finding the Fourth Proportional to 256,090.36, 353,424.72 and 142,930.12

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Solution

The fourth proportional to 256,090.36, 353,424.72 and 142,930.12 is: 197,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,090.36 : 353,424.72 = 142,930.12 : x
  2. Step 2: Convert to fraction form
    256,090.36/353,424.72 = 142,930.12/x
  3. Step 3: Cross multiply
    256,090.36x = 353,424.72 × 142,930.12
  4. Step 4: Simplify right side
    256,090.36x = 50,515,037,640.57
  5. Step 5: Solve for x
    x = 50,515,037,640.57/256,090.36
  6. Step 6: Final answer
    x = 197,254.74

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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.