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Finding the Fourth Proportional to 257,096.66, 385,586.67 and 90,884.66

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Solution

The fourth proportional to 257,096.66, 385,586.67 and 90,884.66 is: 136,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,096.66 : 385,586.67 = 90,884.66 : x
  2. Step 2: Convert to fraction form
    257,096.66/385,586.67 = 90,884.66/x
  3. Step 3: Cross multiply
    257,096.66x = 385,586.67 × 90,884.66
  4. Step 4: Simplify right side
    257,096.66x = 35,043,913,403.48
  5. Step 5: Solve for x
    x = 35,043,913,403.48/257,096.66
  6. Step 6: Final answer
    x = 136,306.37

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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.