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Finding the Fourth Proportional to 122,709.25, 183,965.19 and 69,368.32

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Solution

The fourth proportional to 122,709.25, 183,965.19 and 69,368.32 is: 103,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,709.25 : 183,965.19 = 69,368.32 : x
  2. Step 2: Convert to fraction form
    122,709.25/183,965.19 = 69,368.32/x
  3. Step 3: Cross multiply
    122,709.25x = 183,965.19 × 69,368.32
  4. Step 4: Simplify right side
    122,709.25x = 12,761,356,168.78
  5. Step 5: Solve for x
    x = 12,761,356,168.78/122,709.25
  6. Step 6: Final answer
    x = 103,996.69

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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.