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Finding the Fourth Proportional to 113,538.80, 170,413.32 and 57,418.64

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Solution

The fourth proportional to 113,538.80, 170,413.32 and 57,418.64 is: 86,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,538.80 : 170,413.32 = 57,418.64 : x
  2. Step 2: Convert to fraction form
    113,538.80/170,413.32 = 57,418.64/x
  3. Step 3: Cross multiply
    113,538.80x = 170,413.32 × 57,418.64
  4. Step 4: Simplify right side
    113,538.80x = 9,784,901,072.28
  5. Step 5: Solve for x
    x = 9,784,901,072.28/113,538.80
  6. Step 6: Final answer
    x = 86,181.12

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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.