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Finding the Fourth Proportional to 207,682, 286,600.94 and 112,188.66

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Solution

The fourth proportional to 207,682, 286,600.94 and 112,188.66 is: 154,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,682 : 286,600.94 = 112,188.66 : x
  2. Step 2: Convert to fraction form
    207,682/286,600.94 = 112,188.66/x
  3. Step 3: Cross multiply
    207,682x = 286,600.94 × 112,188.66
  4. Step 4: Simplify right side
    207,682x = 32,153,375,413.34
  5. Step 5: Solve for x
    x = 32,153,375,413.34/207,682
  6. Step 6: Final answer
    x = 154,820.23

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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.