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Finding the Fourth Proportional to 224,409.68, 309,663.88 and 123,801.20

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Solution

The fourth proportional to 224,409.68, 309,663.88 and 123,801.20 is: 170,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,409.68 : 309,663.88 = 123,801.20 : x
  2. Step 2: Convert to fraction form
    224,409.68/309,663.88 = 123,801.20/x
  3. Step 3: Cross multiply
    224,409.68x = 309,663.88 × 123,801.20
  4. Step 4: Simplify right side
    224,409.68x = 38,336,759,940.66
  5. Step 5: Solve for x
    x = 38,336,759,940.66/224,409.68
  6. Step 6: Final answer
    x = 170,833.81

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1.5x scale

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.