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Finding the Fourth Proportional to 56,705.77, 85,055.82 and 21,164.39

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Solution

The fourth proportional to 56,705.77, 85,055.82 and 21,164.39 is: 31,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,705.77 : 85,055.82 = 21,164.39 : x
  2. Step 2: Convert to fraction form
    56,705.77/85,055.82 = 21,164.39/x
  3. Step 3: Cross multiply
    56,705.77x = 85,055.82 × 21,164.39
  4. Step 4: Simplify right side
    56,705.77x = 1,800,154,479.61
  5. Step 5: Solve for x
    x = 1,800,154,479.61/56,705.77
  6. Step 6: Final answer
    x = 31,745.53

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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.