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Finding the Fourth Proportional to 256,761.12, 354,356.83 and 147,869.02

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Solution

The fourth proportional to 256,761.12, 354,356.83 and 147,869.02 is: 204,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,761.12 : 354,356.83 = 147,869.02 : x
  2. Step 2: Convert to fraction form
    256,761.12/354,356.83 = 147,869.02/x
  3. Step 3: Cross multiply
    256,761.12x = 354,356.83 × 147,869.02
  4. Step 4: Simplify right side
    256,761.12x = 52,398,395,981.80
  5. Step 5: Solve for x
    x = 52,398,395,981.80/256,761.12
  6. Step 6: Final answer
    x = 204,074.50

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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.