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Finding the Fourth Proportional to 69,533.78, 103,406.14 and 67,319.46

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Solution

The fourth proportional to 69,533.78, 103,406.14 and 67,319.46 is: 100,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,533.78 : 103,406.14 = 67,319.46 : x
  2. Step 2: Convert to fraction form
    69,533.78/103,406.14 = 67,319.46/x
  3. Step 3: Cross multiply
    69,533.78x = 103,406.14 × 67,319.46
  4. Step 4: Simplify right side
    69,533.78x = 6,961,245,505.48
  5. Step 5: Solve for x
    x = 6,961,245,505.48/69,533.78
  6. Step 6: Final answer
    x = 100,113.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.