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Finding the Fourth Proportional to 56,647.32, 84,982.32 and 31,722.81

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Solution

The fourth proportional to 56,647.32, 84,982.32 and 31,722.81 is: 47,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,647.32 : 84,982.32 = 31,722.81 : x
  2. Step 2: Convert to fraction form
    56,647.32/84,982.32 = 31,722.81/x
  3. Step 3: Cross multiply
    56,647.32x = 84,982.32 × 31,722.81
  4. Step 4: Simplify right side
    56,647.32x = 2,695,877,990.72
  5. Step 5: Solve for x
    x = 2,695,877,990.72/56,647.32
  6. Step 6: Final answer
    x = 47,590.57

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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.