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Finding the Fourth Proportional to 56,862, 85,331.88 and 19,926

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Solution

The fourth proportional to 56,862, 85,331.88 and 19,926 is: 29,902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,862 : 85,331.88 = 19,926 : x
  2. Step 2: Convert to fraction form
    56,862/85,331.88 = 19,926/x
  3. Step 3: Cross multiply
    56,862x = 85,331.88 × 19,926
  4. Step 4: Simplify right side
    56,862x = 1,700,323,040.88
  5. Step 5: Solve for x
    x = 1,700,323,040.88/56,862
  6. Step 6: Final answer
    x = 29,902.62

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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.