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Finding the Fourth Proportional to 81,695.47, 122,528.48 and 22,516.47

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Solution

The fourth proportional to 81,695.47, 122,528.48 and 22,516.47 is: 33,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,695.47 : 122,528.48 = 22,516.47 : x
  2. Step 2: Convert to fraction form
    81,695.47/122,528.48 = 22,516.47/x
  3. Step 3: Cross multiply
    81,695.47x = 122,528.48 × 22,516.47
  4. Step 4: Simplify right side
    81,695.47x = 2,758,908,844.07
  5. Step 5: Solve for x
    x = 2,758,908,844.07/81,695.47
  6. Step 6: Final answer
    x = 33,770.65

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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.