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Finding the Fourth Proportional to 205,785.63, 310,220.77 and 192,069

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Solution

The fourth proportional to 205,785.63, 310,220.77 and 192,069 is: 289,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,785.63 : 310,220.77 = 192,069 : x
  2. Step 2: Convert to fraction form
    205,785.63/310,220.77 = 192,069/x
  3. Step 3: Cross multiply
    205,785.63x = 310,220.77 × 192,069
  4. Step 4: Simplify right side
    205,785.63x = 59,583,792,592.96
  5. Step 5: Solve for x
    x = 59,583,792,592.96/205,785.63
  6. Step 6: Final answer
    x = 289,543.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.