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Finding the Fourth Proportional to 87,108, 120,210 and 47,364

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Solution

The fourth proportional to 87,108, 120,210 and 47,364 is: 65,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,108 : 120,210 = 47,364 : x
  2. Step 2: Convert to fraction form
    87,108/120,210 = 47,364/x
  3. Step 3: Cross multiply
    87,108x = 120,210 × 47,364
  4. Step 4: Simplify right side
    87,108x = 5,693,626,440
  5. Step 5: Solve for x
    x = 5,693,626,440/87,108
  6. Step 6: Final answer
    x = 65,362.84

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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.