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Finding the Fourth Proportional to 81,003, 111,784.14 and 47,469

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Solution

The fourth proportional to 81,003, 111,784.14 and 47,469 is: 65,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,003 : 111,784.14 = 47,469 : x
  2. Step 2: Convert to fraction form
    81,003/111,784.14 = 47,469/x
  3. Step 3: Cross multiply
    81,003x = 111,784.14 × 47,469
  4. Step 4: Simplify right side
    81,003x = 5,306,281,341.66
  5. Step 5: Solve for x
    x = 5,306,281,341.66/81,003
  6. Step 6: Final answer
    x = 65,507.22

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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.