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Finding the Fourth Proportional to 56,423.56, 77,867.04 and 31,271.44

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Solution

The fourth proportional to 56,423.56, 77,867.04 and 31,271.44 is: 43,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,423.56 : 77,867.04 = 31,271.44 : x
  2. Step 2: Convert to fraction form
    56,423.56/77,867.04 = 31,271.44/x
  3. Step 3: Cross multiply
    56,423.56x = 77,867.04 × 31,271.44
  4. Step 4: Simplify right side
    56,423.56x = 2,435,014,469.34
  5. Step 5: Solve for x
    x = 2,435,014,469.34/56,423.56
  6. Step 6: Final answer
    x = 43,155.99

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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.