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Finding the Fourth Proportional to 57,712, 79,642.56 and 40,974.16

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Solution

The fourth proportional to 57,712, 79,642.56 and 40,974.16 is: 56,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,712 : 79,642.56 = 40,974.16 : x
  2. Step 2: Convert to fraction form
    57,712/79,642.56 = 40,974.16/x
  3. Step 3: Cross multiply
    57,712x = 79,642.56 × 40,974.16
  4. Step 4: Simplify right side
    57,712x = 3,263,286,996.25
  5. Step 5: Solve for x
    x = 3,263,286,996.25/57,712
  6. Step 6: Final answer
    x = 56,544.34

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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.