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Finding the Fourth Proportional to 188,577.76, 282,707.76 and 81,881.44

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Solution

The fourth proportional to 188,577.76, 282,707.76 and 81,881.44 is: 122,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,577.76 : 282,707.76 = 81,881.44 : x
  2. Step 2: Convert to fraction form
    188,577.76/282,707.76 = 81,881.44/x
  3. Step 3: Cross multiply
    188,577.76x = 282,707.76 × 81,881.44
  4. Step 4: Simplify right side
    188,577.76x = 23,148,518,487.97
  5. Step 5: Solve for x
    x = 23,148,518,487.97/188,577.76
  6. Step 6: Final answer
    x = 122,753.17

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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.