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Finding the Fourth Proportional to 56,803.87, 78,385.80 and 31,310.44

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Solution

The fourth proportional to 56,803.87, 78,385.80 and 31,310.44 is: 43,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,803.87 : 78,385.80 = 31,310.44 : x
  2. Step 2: Convert to fraction form
    56,803.87/78,385.80 = 31,310.44/x
  3. Step 3: Cross multiply
    56,803.87x = 78,385.80 × 31,310.44
  4. Step 4: Simplify right side
    56,803.87x = 2,454,293,809.20
  5. Step 5: Solve for x
    x = 2,454,293,809.20/56,803.87
  6. Step 6: Final answer
    x = 43,206.45

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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.