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Finding the Fourth Proportional to 87,297.75, 120,470.90 and 49,572

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Solution

The fourth proportional to 87,297.75, 120,470.90 and 49,572 is: 68,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,297.75 : 120,470.90 = 49,572 : x
  2. Step 2: Convert to fraction form
    87,297.75/120,470.90 = 49,572/x
  3. Step 3: Cross multiply
    87,297.75x = 120,470.90 × 49,572
  4. Step 4: Simplify right side
    87,297.75x = 5,971,983,206.94
  5. Step 5: Solve for x
    x = 5,971,983,206.94/87,297.75
  6. Step 6: Final answer
    x = 68,409.36

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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.