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Finding the Fourth Proportional to 256,705.04, 354,285.96 and 143,534

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Solution

The fourth proportional to 256,705.04, 354,285.96 and 143,534 is: 198,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,705.04 : 354,285.96 = 143,534 : x
  2. Step 2: Convert to fraction form
    256,705.04/354,285.96 = 143,534/x
  3. Step 3: Cross multiply
    256,705.04x = 354,285.96 × 143,534
  4. Step 4: Simplify right side
    256,705.04x = 50,852,080,982.64
  5. Step 5: Solve for x
    x = 50,852,080,982.64/256,705.04
  6. Step 6: Final answer
    x = 198,095.37

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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.