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Finding the Fourth Proportional to 256,081.68, 353,395.40 and 142,902

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Solution

The fourth proportional to 256,081.68, 353,395.40 and 142,902 is: 197,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,081.68 : 353,395.40 = 142,902 : x
  2. Step 2: Convert to fraction form
    256,081.68/353,395.40 = 142,902/x
  3. Step 3: Cross multiply
    256,081.68x = 353,395.40 × 142,902
  4. Step 4: Simplify right side
    256,081.68x = 50,500,909,450.80
  5. Step 5: Solve for x
    x = 50,500,909,450.80/256,081.68
  6. Step 6: Final answer
    x = 197,206.26

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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.