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Finding the Fourth Proportional to 199,830.69, 275,637.47 and 119,196

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Solution

The fourth proportional to 199,830.69, 275,637.47 and 119,196 is: 164,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,830.69 : 275,637.47 = 119,196 : x
  2. Step 2: Convert to fraction form
    199,830.69/275,637.47 = 119,196/x
  3. Step 3: Cross multiply
    199,830.69x = 275,637.47 × 119,196
  4. Step 4: Simplify right side
    199,830.69x = 32,854,883,278.14
  5. Step 5: Solve for x
    x = 32,854,883,278.14/199,830.69
  6. Step 6: Final answer
    x = 164,413.60

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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.