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Finding the Fourth Proportional to 224,090, 309,244.20 and 123,488

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Solution

The fourth proportional to 224,090, 309,244.20 and 123,488 is: 170,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,090 : 309,244.20 = 123,488 : x
  2. Step 2: Convert to fraction form
    224,090/309,244.20 = 123,488/x
  3. Step 3: Cross multiply
    224,090x = 309,244.20 × 123,488
  4. Step 4: Simplify right side
    224,090x = 38,187,947,769.60
  5. Step 5: Solve for x
    x = 38,187,947,769.60/224,090
  6. Step 6: Final answer
    x = 170,413.44

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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.