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Finding the Fourth Proportional to 172,054.87, 258,023.46 and 65,413.10

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Solution

The fourth proportional to 172,054.87, 258,023.46 and 65,413.10 is: 98,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,054.87 : 258,023.46 = 65,413.10 : x
  2. Step 2: Convert to fraction form
    172,054.87/258,023.46 = 65,413.10/x
  3. Step 3: Cross multiply
    172,054.87x = 258,023.46 × 65,413.10
  4. Step 4: Simplify right side
    172,054.87x = 16,878,114,391.33
  5. Step 5: Solve for x
    x = 16,878,114,391.33/172,054.87
  6. Step 6: Final answer
    x = 98,097.28

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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.