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Finding the Fourth Proportional to 257,164.79, 385,560.30 and 107,447.90

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Solution

The fourth proportional to 257,164.79, 385,560.30 and 107,447.90 is: 161,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,164.79 : 385,560.30 = 107,447.90 : x
  2. Step 2: Convert to fraction form
    257,164.79/385,560.30 = 107,447.90/x
  3. Step 3: Cross multiply
    257,164.79x = 385,560.30 × 107,447.90
  4. Step 4: Simplify right side
    257,164.79x = 41,427,642,630.57
  5. Step 5: Solve for x
    x = 41,427,642,630.57/257,164.79
  6. Step 6: Final answer
    x = 161,093.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.