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Finding the Fourth Proportional to 56,542.68, 78,028.74 and 31,392

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Solution

The fourth proportional to 56,542.68, 78,028.74 and 31,392 is: 43,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,542.68 : 78,028.74 = 31,392 : x
  2. Step 2: Convert to fraction form
    56,542.68/78,028.74 = 31,392/x
  3. Step 3: Cross multiply
    56,542.68x = 78,028.74 × 31,392
  4. Step 4: Simplify right side
    56,542.68x = 2,449,478,206.08
  5. Step 5: Solve for x
    x = 2,449,478,206.08/56,542.68
  6. Step 6: Final answer
    x = 43,320.87

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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.