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Finding the Fourth Proportional to 213,089.80, 319,413.30 and 86,675.80

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Solution

The fourth proportional to 213,089.80, 319,413.30 and 86,675.80 is: 129,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,089.80 : 319,413.30 = 86,675.80 : x
  2. Step 2: Convert to fraction form
    213,089.80/319,413.30 = 86,675.80/x
  3. Step 3: Cross multiply
    213,089.80x = 319,413.30 × 86,675.80
  4. Step 4: Simplify right side
    213,089.80x = 27,685,403,308.14
  5. Step 5: Solve for x
    x = 27,685,403,308.14/213,089.80
  6. Step 6: Final answer
    x = 129,923.64

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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.