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Finding the Fourth Proportional to 249,893.69, 374,840.19 and 81,413.69

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Solution

The fourth proportional to 249,893.69, 374,840.19 and 81,413.69 is: 122,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,893.69 : 374,840.19 = 81,413.69 : x
  2. Step 2: Convert to fraction form
    249,893.69/374,840.19 = 81,413.69/x
  3. Step 3: Cross multiply
    249,893.69x = 374,840.19 × 81,413.69
  4. Step 4: Simplify right side
    249,893.69x = 30,517,121,154.00
  5. Step 5: Solve for x
    x = 30,517,121,154.00/249,893.69
  6. Step 6: Final answer
    x = 122,120.42

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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.