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Finding the Fourth Proportional to 189,638.88, 284,291.22 and 77,413.38

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Solution

The fourth proportional to 189,638.88, 284,291.22 and 77,413.38 is: 116,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,638.88 : 284,291.22 = 77,413.38 : x
  2. Step 2: Convert to fraction form
    189,638.88/284,291.22 = 77,413.38/x
  3. Step 3: Cross multiply
    189,638.88x = 284,291.22 × 77,413.38
  4. Step 4: Simplify right side
    189,638.88x = 22,007,944,244.52
  5. Step 5: Solve for x
    x = 22,007,944,244.52/189,638.88
  6. Step 6: Final answer
    x = 116,051.86

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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.