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Finding the Fourth Proportional to 57,574.56, 86,387.76 and 31,239.84

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Solution

The fourth proportional to 57,574.56, 86,387.76 and 31,239.84 is: 46,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,574.56 : 86,387.76 = 31,239.84 : x
  2. Step 2: Convert to fraction form
    57,574.56/86,387.76 = 31,239.84/x
  3. Step 3: Cross multiply
    57,574.56x = 86,387.76 × 31,239.84
  4. Step 4: Simplify right side
    57,574.56x = 2,698,739,800.36
  5. Step 5: Solve for x
    x = 2,698,739,800.36/57,574.56
  6. Step 6: Final answer
    x = 46,873.82

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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.