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Finding the Fourth Proportional to 84,657.47, 126,954 and 27,718.11

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Solution

The fourth proportional to 84,657.47, 126,954 and 27,718.11 is: 41,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,657.47 : 126,954 = 27,718.11 : x
  2. Step 2: Convert to fraction form
    84,657.47/126,954 = 27,718.11/x
  3. Step 3: Cross multiply
    84,657.47x = 126,954 × 27,718.11
  4. Step 4: Simplify right side
    84,657.47x = 3,518,924,936.94
  5. Step 5: Solve for x
    x = 3,518,924,936.94/84,657.47
  6. Step 6: Final answer
    x = 41,566.62

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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.