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Finding the Fourth Proportional to 57,272.71, 85,888.47 and 19,822.60

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Solution

The fourth proportional to 57,272.71, 85,888.47 and 19,822.60 is: 29,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,272.71 : 85,888.47 = 19,822.60 : x
  2. Step 2: Convert to fraction form
    57,272.71/85,888.47 = 19,822.60/x
  3. Step 3: Cross multiply
    57,272.71x = 85,888.47 × 19,822.60
  4. Step 4: Simplify right side
    57,272.71x = 1,702,532,785.42
  5. Step 5: Solve for x
    x = 1,702,532,785.42/57,272.71
  6. Step 6: Final answer
    x = 29,726.77

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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.