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Finding the Fourth Proportional to 56,989.44, 78,638.40 and 31,838.40

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Solution

The fourth proportional to 56,989.44, 78,638.40 and 31,838.40 is: 43,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,989.44 : 78,638.40 = 31,838.40 : x
  2. Step 2: Convert to fraction form
    56,989.44/78,638.40 = 31,838.40/x
  3. Step 3: Cross multiply
    56,989.44x = 78,638.40 × 31,838.40
  4. Step 4: Simplify right side
    56,989.44x = 2,503,720,834.56
  5. Step 5: Solve for x
    x = 2,503,720,834.56/56,989.44
  6. Step 6: Final answer
    x = 43,933.07

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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.