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Finding the Fourth Proportional to 56,872.22, 78,483.11 and 31,378.79

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Solution

The fourth proportional to 56,872.22, 78,483.11 and 31,378.79 is: 43,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,872.22 : 78,483.11 = 31,378.79 : x
  2. Step 2: Convert to fraction form
    56,872.22/78,483.11 = 31,378.79/x
  3. Step 3: Cross multiply
    56,872.22x = 78,483.11 × 31,378.79
  4. Step 4: Simplify right side
    56,872.22x = 2,462,705,027.24
  5. Step 5: Solve for x
    x = 2,462,705,027.24/56,872.22
  6. Step 6: Final answer
    x = 43,302.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.