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Finding the Fourth Proportional to 224,618.68, 309,971.42 and 122,643.84

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Solution

The fourth proportional to 224,618.68, 309,971.42 and 122,643.84 is: 169,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,618.68 : 309,971.42 = 122,643.84 : x
  2. Step 2: Convert to fraction form
    224,618.68/309,971.42 = 122,643.84/x
  3. Step 3: Cross multiply
    224,618.68x = 309,971.42 × 122,643.84
  4. Step 4: Simplify right side
    224,618.68x = 38,016,085,239.05
  5. Step 5: Solve for x
    x = 38,016,085,239.05/224,618.68
  6. Step 6: Final answer
    x = 169,247.22

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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.