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Finding the Fourth Proportional to 87,588, 120,871.44 and 47,844

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Solution

The fourth proportional to 87,588, 120,871.44 and 47,844 is: 66,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,588 : 120,871.44 = 47,844 : x
  2. Step 2: Convert to fraction form
    87,588/120,871.44 = 47,844/x
  3. Step 3: Cross multiply
    87,588x = 120,871.44 × 47,844
  4. Step 4: Simplify right side
    87,588x = 5,782,973,175.36
  5. Step 5: Solve for x
    x = 5,782,973,175.36/87,588
  6. Step 6: Final answer
    x = 66,024.72

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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.