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Finding the Fourth Proportional to 73,378, 101,261.64 and 39,844

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Solution

The fourth proportional to 73,378, 101,261.64 and 39,844 is: 54,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,378 : 101,261.64 = 39,844 : x
  2. Step 2: Convert to fraction form
    73,378/101,261.64 = 39,844/x
  3. Step 3: Cross multiply
    73,378x = 101,261.64 × 39,844
  4. Step 4: Simplify right side
    73,378x = 4,034,668,784.16
  5. Step 5: Solve for x
    x = 4,034,668,784.16/73,378
  6. Step 6: Final answer
    x = 54,984.72

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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.