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Finding the Fourth Proportional to 56,296, 77,688.48 and 31,147.12

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Solution

The fourth proportional to 56,296, 77,688.48 and 31,147.12 is: 42,983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,296 : 77,688.48 = 31,147.12 : x
  2. Step 2: Convert to fraction form
    56,296/77,688.48 = 31,147.12/x
  3. Step 3: Cross multiply
    56,296x = 77,688.48 × 31,147.12
  4. Step 4: Simplify right side
    56,296x = 2,419,772,409.18
  5. Step 5: Solve for x
    x = 2,419,772,409.18/56,296
  6. Step 6: Final answer
    x = 42,983.03

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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.