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Finding the Fourth Proportional to 69,319.32, 103,978.94 and 27,219.24

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Solution

The fourth proportional to 69,319.32, 103,978.94 and 27,219.24 is: 40,828.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,319.32 : 103,978.94 = 27,219.24 : x
  2. Step 2: Convert to fraction form
    69,319.32/103,978.94 = 27,219.24/x
  3. Step 3: Cross multiply
    69,319.32x = 103,978.94 × 27,219.24
  4. Step 4: Simplify right side
    69,319.32x = 2,830,227,722.81
  5. Step 5: Solve for x
    x = 2,830,227,722.81/69,319.32
  6. Step 6: Final answer
    x = 40,828.84

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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.