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Finding the Fourth Proportional to 87,643, 120,947.34 and 47,899

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Solution

The fourth proportional to 87,643, 120,947.34 and 47,899 is: 66,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,643 : 120,947.34 = 47,899 : x
  2. Step 2: Convert to fraction form
    87,643/120,947.34 = 47,899/x
  3. Step 3: Cross multiply
    87,643x = 120,947.34 × 47,899
  4. Step 4: Simplify right side
    87,643x = 5,793,256,638.66
  5. Step 5: Solve for x
    x = 5,793,256,638.66/87,643
  6. Step 6: Final answer
    x = 66,100.62

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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.