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Finding the Fourth Proportional to 209,414, 314,221.80 and 104,242.16

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Solution

The fourth proportional to 209,414, 314,221.80 and 104,242.16 is: 156,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,414 : 314,221.80 = 104,242.16 : x
  2. Step 2: Convert to fraction form
    209,414/314,221.80 = 104,242.16/x
  3. Step 3: Cross multiply
    209,414x = 314,221.80 × 104,242.16
  4. Step 4: Simplify right side
    209,414x = 32,755,159,151.09
  5. Step 5: Solve for x
    x = 32,755,159,151.09/209,414
  6. Step 6: Final answer
    x = 156,413.42

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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.