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Finding the Fourth Proportional to 56,971.28, 78,605.16 and 31,820.24

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Solution

The fourth proportional to 56,971.28, 78,605.16 and 31,820.24 is: 43,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,971.28 : 78,605.16 = 31,820.24 : x
  2. Step 2: Convert to fraction form
    56,971.28/78,605.16 = 31,820.24/x
  3. Step 3: Cross multiply
    56,971.28x = 78,605.16 × 31,820.24
  4. Step 4: Simplify right side
    56,971.28x = 2,501,235,056.44
  5. Step 5: Solve for x
    x = 2,501,235,056.44/56,971.28
  6. Step 6: Final answer
    x = 43,903.44

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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.