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Finding the Fourth Proportional to 256,597.94, 354,090.85 and 141,869.95

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Solution

The fourth proportional to 256,597.94, 354,090.85 and 141,869.95 is: 195,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,597.94 : 354,090.85 = 141,869.95 : x
  2. Step 2: Convert to fraction form
    256,597.94/354,090.85 = 141,869.95/x
  3. Step 3: Cross multiply
    256,597.94x = 354,090.85 × 141,869.95
  4. Step 4: Simplify right side
    256,597.94x = 50,234,851,184.96
  5. Step 5: Solve for x
    x = 50,234,851,184.96/256,597.94
  6. Step 6: Final answer
    x = 195,772.62

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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.