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Finding the Fourth Proportional to 112,702, 169,111.32 and 57,298

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Solution

The fourth proportional to 112,702, 169,111.32 and 57,298 is: 85,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,702 : 169,111.32 = 57,298 : x
  2. Step 2: Convert to fraction form
    112,702/169,111.32 = 57,298/x
  3. Step 3: Cross multiply
    112,702x = 169,111.32 × 57,298
  4. Step 4: Simplify right side
    112,702x = 9,689,740,413.36
  5. Step 5: Solve for x
    x = 9,689,740,413.36/112,702
  6. Step 6: Final answer
    x = 85,976.65

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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.