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Finding the Fourth Proportional to 256,013.48, 353,299.62 and 142,841

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Solution

The fourth proportional to 256,013.48, 353,299.62 and 142,841 is: 197,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,013.48 : 353,299.62 = 142,841 : x
  2. Step 2: Convert to fraction form
    256,013.48/353,299.62 = 142,841/x
  3. Step 3: Cross multiply
    256,013.48x = 353,299.62 × 142,841
  4. Step 4: Simplify right side
    256,013.48x = 50,465,671,020.42
  5. Step 5: Solve for x
    x = 50,465,671,020.42/256,013.48
  6. Step 6: Final answer
    x = 197,121.15

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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.