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Finding the Fourth Proportional to 192,510, 288,881.64 and 81,702

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Solution

The fourth proportional to 192,510, 288,881.64 and 81,702 is: 122,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,510 : 288,881.64 = 81,702 : x
  2. Step 2: Convert to fraction form
    192,510/288,881.64 = 81,702/x
  3. Step 3: Cross multiply
    192,510x = 288,881.64 × 81,702
  4. Step 4: Simplify right side
    192,510x = 23,602,207,751.28
  5. Step 5: Solve for x
    x = 23,602,207,751.28/192,510
  6. Step 6: Final answer
    x = 122,602.50

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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.