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Finding the Fourth Proportional to 51,695.78, 71,343.78 and 34,728.36

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Solution

The fourth proportional to 51,695.78, 71,343.78 and 34,728.36 is: 47,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,695.78 : 71,343.78 = 34,728.36 : x
  2. Step 2: Convert to fraction form
    51,695.78/71,343.78 = 34,728.36/x
  3. Step 3: Cross multiply
    51,695.78x = 71,343.78 × 34,728.36
  4. Step 4: Simplify right side
    51,695.78x = 2,477,652,475.60
  5. Step 5: Solve for x
    x = 2,477,652,475.60/51,695.78
  6. Step 6: Final answer
    x = 47,927.56

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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.