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Finding the Fourth Proportional to 87,043, 120,120.06 and 47,299

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Solution

The fourth proportional to 87,043, 120,120.06 and 47,299 is: 65,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,043 : 120,120.06 = 47,299 : x
  2. Step 2: Convert to fraction form
    87,043/120,120.06 = 47,299/x
  3. Step 3: Cross multiply
    87,043x = 120,120.06 × 47,299
  4. Step 4: Simplify right side
    87,043x = 5,681,558,717.94
  5. Step 5: Solve for x
    x = 5,681,558,717.94/87,043
  6. Step 6: Final answer
    x = 65,273.01

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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.