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Finding the Fourth Proportional to 57,393, 86,092.74 and 20,457

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Solution

The fourth proportional to 57,393, 86,092.74 and 20,457 is: 30,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,393 : 86,092.74 = 20,457 : x
  2. Step 2: Convert to fraction form
    57,393/86,092.74 = 20,457/x
  3. Step 3: Cross multiply
    57,393x = 86,092.74 × 20,457
  4. Step 4: Simplify right side
    57,393x = 1,761,199,182.18
  5. Step 5: Solve for x
    x = 1,761,199,182.18/57,393
  6. Step 6: Final answer
    x = 30,686.65

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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.