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Finding the Fourth Proportional to 57,716.40, 86,574.60 and 31,407.60

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Solution

The fourth proportional to 57,716.40, 86,574.60 and 31,407.60 is: 47,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,716.40 : 86,574.60 = 31,407.60 : x
  2. Step 2: Convert to fraction form
    57,716.40/86,574.60 = 31,407.60/x
  3. Step 3: Cross multiply
    57,716.40x = 86,574.60 × 31,407.60
  4. Step 4: Simplify right side
    57,716.40x = 2,719,100,406.96
  5. Step 5: Solve for x
    x = 2,719,100,406.96/57,716.40
  6. Step 6: Final answer
    x = 47,111.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.