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Finding the Fourth Proportional to 85,586.64, 128,330.64 and 32,989.20

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Solution

The fourth proportional to 85,586.64, 128,330.64 and 32,989.20 is: 49,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,586.64 : 128,330.64 = 32,989.20 : x
  2. Step 2: Convert to fraction form
    85,586.64/128,330.64 = 32,989.20/x
  3. Step 3: Cross multiply
    85,586.64x = 128,330.64 × 32,989.20
  4. Step 4: Simplify right side
    85,586.64x = 4,233,525,149.09
  5. Step 5: Solve for x
    x = 4,233,525,149.09/85,586.64
  6. Step 6: Final answer
    x = 49,464.79

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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.