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Finding the Fourth Proportional to 56,302, 77,696.84 and 31,153.20

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Solution

The fourth proportional to 56,302, 77,696.84 and 31,153.20 is: 42,991.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,302 : 77,696.84 = 31,153.20 : x
  2. Step 2: Convert to fraction form
    56,302/77,696.84 = 31,153.20/x
  3. Step 3: Cross multiply
    56,302x = 77,696.84 × 31,153.20
  4. Step 4: Simplify right side
    56,302x = 2,420,505,195.89
  5. Step 5: Solve for x
    x = 2,420,505,195.89/56,302
  6. Step 6: Final answer
    x = 42,991.46

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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.