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Finding the Fourth Proportional to 57,890.48, 86,809.80 and 20,442.80

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Solution

The fourth proportional to 57,890.48, 86,809.80 and 20,442.80 is: 30,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,890.48 : 86,809.80 = 20,442.80 : x
  2. Step 2: Convert to fraction form
    57,890.48/86,809.80 = 20,442.80/x
  3. Step 3: Cross multiply
    57,890.48x = 86,809.80 × 20,442.80
  4. Step 4: Simplify right side
    57,890.48x = 1,774,635,379.44
  5. Step 5: Solve for x
    x = 1,774,635,379.44/57,890.48
  6. Step 6: Final answer
    x = 30,655.05

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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.