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Finding the Fourth Proportional to 56,807.48, 85,249.14 and 19,871.48

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Solution

The fourth proportional to 56,807.48, 85,249.14 and 19,871.48 is: 29,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,807.48 : 85,249.14 = 19,871.48 : x
  2. Step 2: Convert to fraction form
    56,807.48/85,249.14 = 19,871.48/x
  3. Step 3: Cross multiply
    56,807.48x = 85,249.14 × 19,871.48
  4. Step 4: Simplify right side
    56,807.48x = 1,694,026,580.53
  5. Step 5: Solve for x
    x = 1,694,026,580.53/56,807.48
  6. Step 6: Final answer
    x = 29,820.48

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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.