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Finding the Fourth Proportional to 87,897.36, 121,298.37 and 47,611

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Solution

The fourth proportional to 87,897.36, 121,298.37 and 47,611 is: 65,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,897.36 : 121,298.37 = 47,611 : x
  2. Step 2: Convert to fraction form
    87,897.36/121,298.37 = 47,611/x
  3. Step 3: Cross multiply
    87,897.36x = 121,298.37 × 47,611
  4. Step 4: Simplify right side
    87,897.36x = 5,775,136,694.07
  5. Step 5: Solve for x
    x = 5,775,136,694.07/87,897.36
  6. Step 6: Final answer
    x = 65,703.19

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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.