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Finding the Fourth Proportional to 257,096.16, 385,585.92 and 90,884.16

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Solution

The fourth proportional to 257,096.16, 385,585.92 and 90,884.16 is: 136,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,096.16 : 385,585.92 = 90,884.16 : x
  2. Step 2: Convert to fraction form
    257,096.16/385,585.92 = 90,884.16/x
  3. Step 3: Cross multiply
    257,096.16x = 385,585.92 × 90,884.16
  4. Step 4: Simplify right side
    257,096.16x = 35,043,652,447.03
  5. Step 5: Solve for x
    x = 35,043,652,447.03/257,096.16
  6. Step 6: Final answer
    x = 136,305.62

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1.5x scale

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.