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Finding the Fourth Proportional to 56,820.48, 85,268.64 and 19,884.48

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Solution

The fourth proportional to 56,820.48, 85,268.64 and 19,884.48 is: 29,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,820.48 : 85,268.64 = 19,884.48 : x
  2. Step 2: Convert to fraction form
    56,820.48/85,268.64 = 19,884.48/x
  3. Step 3: Cross multiply
    56,820.48x = 85,268.64 × 19,884.48
  4. Step 4: Simplify right side
    56,820.48x = 1,695,522,566.71
  5. Step 5: Solve for x
    x = 1,695,522,566.71/56,820.48
  6. Step 6: Final answer
    x = 29,839.99

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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.