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Finding the Fourth Proportional to 57,064.34, 78,751.14 and 31,570.29

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Solution

The fourth proportional to 57,064.34, 78,751.14 and 31,570.29 is: 43,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,064.34 : 78,751.14 = 31,570.29 : x
  2. Step 2: Convert to fraction form
    57,064.34/78,751.14 = 31,570.29/x
  3. Step 3: Cross multiply
    57,064.34x = 78,751.14 × 31,570.29
  4. Step 4: Simplify right side
    57,064.34x = 2,486,196,327.63
  5. Step 5: Solve for x
    x = 2,486,196,327.63/57,064.34
  6. Step 6: Final answer
    x = 43,568.30

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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.