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Finding the Fourth Proportional to 69,969.84, 96,555.40 and 38,138

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Solution

The fourth proportional to 69,969.84, 96,555.40 and 38,138 is: 52,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,969.84 : 96,555.40 = 38,138 : x
  2. Step 2: Convert to fraction form
    69,969.84/96,555.40 = 38,138/x
  3. Step 3: Cross multiply
    69,969.84x = 96,555.40 × 38,138
  4. Step 4: Simplify right side
    69,969.84x = 3,682,429,845.20
  5. Step 5: Solve for x
    x = 3,682,429,845.20/69,969.84
  6. Step 6: Final answer
    x = 52,628.82

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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.