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Finding the Fourth Proportional to 164,012.78, 226,339.91 and 91,413.66

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Solution

The fourth proportional to 164,012.78, 226,339.91 and 91,413.66 is: 126,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,012.78 : 226,339.91 = 91,413.66 : x
  2. Step 2: Convert to fraction form
    164,012.78/226,339.91 = 91,413.66/x
  3. Step 3: Cross multiply
    164,012.78x = 226,339.91 × 91,413.66
  4. Step 4: Simplify right side
    164,012.78x = 20,690,559,577.17
  5. Step 5: Solve for x
    x = 20,690,559,577.17/164,012.78
  6. Step 6: Final answer
    x = 126,152.12

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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.