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Finding the Fourth Proportional to 119,857.66, 165,407.05 and 65,413.33

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Solution

The fourth proportional to 119,857.66, 165,407.05 and 65,413.33 is: 90,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,857.66 : 165,407.05 = 65,413.33 : x
  2. Step 2: Convert to fraction form
    119,857.66/165,407.05 = 65,413.33/x
  3. Step 3: Cross multiply
    119,857.66x = 165,407.05 × 65,413.33
  4. Step 4: Simplify right side
    119,857.66x = 10,819,825,118.94
  5. Step 5: Solve for x
    x = 10,819,825,118.94/119,857.66
  6. Step 6: Final answer
    x = 90,272.29

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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.