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Finding the Fourth Proportional to 56,319.84, 77,717.88 and 31,169.88

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Solution

The fourth proportional to 56,319.84, 77,717.88 and 31,169.88 is: 43,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,319.84 : 77,717.88 = 31,169.88 : x
  2. Step 2: Convert to fraction form
    56,319.84/77,717.88 = 31,169.88/x
  3. Step 3: Cross multiply
    56,319.84x = 77,717.88 × 31,169.88
  4. Step 4: Simplify right side
    56,319.84x = 2,422,456,993.45
  5. Step 5: Solve for x
    x = 2,422,456,993.45/56,319.84
  6. Step 6: Final answer
    x = 43,012.50

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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.