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Finding the Fourth Proportional to 57,282.24, 85,918.32 and 15,729.24

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Solution

The fourth proportional to 57,282.24, 85,918.32 and 15,729.24 is: 23,592.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,282.24 : 85,918.32 = 15,729.24 : x
  2. Step 2: Convert to fraction form
    57,282.24/85,918.32 = 15,729.24/x
  3. Step 3: Cross multiply
    57,282.24x = 85,918.32 × 15,729.24
  4. Step 4: Simplify right side
    57,282.24x = 1,351,429,875.68
  5. Step 5: Solve for x
    x = 1,351,429,875.68/57,282.24
  6. Step 6: Final answer
    x = 23,592.48

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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.