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Finding the Fourth Proportional to 213,044.80, 319,413.60 and 139,214.40

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Solution

The fourth proportional to 213,044.80, 319,413.60 and 139,214.40 is: 208,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,044.80 : 319,413.60 = 139,214.40 : x
  2. Step 2: Convert to fraction form
    213,044.80/319,413.60 = 139,214.40/x
  3. Step 3: Cross multiply
    213,044.80x = 319,413.60 × 139,214.40
  4. Step 4: Simplify right side
    213,044.80x = 44,466,972,675.84
  5. Step 5: Solve for x
    x = 44,466,972,675.84/213,044.80
  6. Step 6: Final answer
    x = 208,721.23

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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.