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Finding the Fourth Proportional to 57,873.40, 86,734.50 and 31,571.08

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Solution

The fourth proportional to 57,873.40, 86,734.50 and 31,571.08 is: 47,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,873.40 : 86,734.50 = 31,571.08 : x
  2. Step 2: Convert to fraction form
    57,873.40/86,734.50 = 31,571.08/x
  3. Step 3: Cross multiply
    57,873.40x = 86,734.50 × 31,571.08
  4. Step 4: Simplify right side
    57,873.40x = 2,738,301,838.26
  5. Step 5: Solve for x
    x = 2,738,301,838.26/57,873.40
  6. Step 6: Final answer
    x = 47,315.38

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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.