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Finding the Fourth Proportional to 69,431.78, 103,969.76 and 48,054.87

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Solution

The fourth proportional to 69,431.78, 103,969.76 and 48,054.87 is: 71,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,431.78 : 103,969.76 = 48,054.87 : x
  2. Step 2: Convert to fraction form
    69,431.78/103,969.76 = 48,054.87/x
  3. Step 3: Cross multiply
    69,431.78x = 103,969.76 × 48,054.87
  4. Step 4: Simplify right side
    69,431.78x = 4,996,253,060.46
  5. Step 5: Solve for x
    x = 4,996,253,060.46/69,431.78
  6. Step 6: Final answer
    x = 71,959.17

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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.