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Finding the Fourth Proportional to 73,654, 101,642.64 and 40,120

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Solution

The fourth proportional to 73,654, 101,642.64 and 40,120 is: 55,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,654 : 101,642.64 = 40,120 : x
  2. Step 2: Convert to fraction form
    73,654/101,642.64 = 40,120/x
  3. Step 3: Cross multiply
    73,654x = 101,642.64 × 40,120
  4. Step 4: Simplify right side
    73,654x = 4,077,902,716.80
  5. Step 5: Solve for x
    x = 4,077,902,716.80/73,654
  6. Step 6: Final answer
    x = 55,365.67

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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.