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Finding the Fourth Proportional to 56,375.12, 77,797 and 31,224.40

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Solution

The fourth proportional to 56,375.12, 77,797 and 31,224.40 is: 43,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,375.12 : 77,797 = 31,224.40 : x
  2. Step 2: Convert to fraction form
    56,375.12/77,797 = 31,224.40/x
  3. Step 3: Cross multiply
    56,375.12x = 77,797 × 31,224.40
  4. Step 4: Simplify right side
    56,375.12x = 2,429,164,646.80
  5. Step 5: Solve for x
    x = 2,429,164,646.80/56,375.12
  6. Step 6: Final answer
    x = 43,089.30

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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.