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Finding the Fourth Proportional to 133,146.42, 183,657.69 and 101,245.38

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Solution

The fourth proportional to 133,146.42, 183,657.69 and 101,245.38 is: 139,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,146.42 : 183,657.69 = 101,245.38 : x
  2. Step 2: Convert to fraction form
    133,146.42/183,657.69 = 101,245.38/x
  3. Step 3: Cross multiply
    133,146.42x = 183,657.69 × 101,245.38
  4. Step 4: Simplify right side
    133,146.42x = 18,594,492,613.97
  5. Step 5: Solve for x
    x = 18,594,492,613.97/133,146.42
  6. Step 6: Final answer
    x = 139,654.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.