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Finding the Fourth Proportional to 57,206.80, 78,950.10 and 31,721.32

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Solution

The fourth proportional to 57,206.80, 78,950.10 and 31,721.32 is: 43,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206.80 : 78,950.10 = 31,721.32 : x
  2. Step 2: Convert to fraction form
    57,206.80/78,950.10 = 31,721.32/x
  3. Step 3: Cross multiply
    57,206.80x = 78,950.10 × 31,721.32
  4. Step 4: Simplify right side
    57,206.80x = 2,504,401,386.13
  5. Step 5: Solve for x
    x = 2,504,401,386.13/57,206.80
  6. Step 6: Final answer
    x = 43,778.04

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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.