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Finding the Fourth Proportional to 57,014, 78,681 and 31,863.56

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Solution

The fourth proportional to 57,014, 78,681 and 31,863.56 is: 43,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,014 : 78,681 = 31,863.56 : x
  2. Step 2: Convert to fraction form
    57,014/78,681 = 31,863.56/x
  3. Step 3: Cross multiply
    57,014x = 78,681 × 31,863.56
  4. Step 4: Simplify right side
    57,014x = 2,507,056,764.36
  5. Step 5: Solve for x
    x = 2,507,056,764.36/57,014
  6. Step 6: Final answer
    x = 43,972.65

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1.5x scale

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.