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Finding the Fourth Proportional to 87,708, 121,037.04 and 47,964

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Solution

The fourth proportional to 87,708, 121,037.04 and 47,964 is: 66,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,708 : 121,037.04 = 47,964 : x
  2. Step 2: Convert to fraction form
    87,708/121,037.04 = 47,964/x
  3. Step 3: Cross multiply
    87,708x = 121,037.04 × 47,964
  4. Step 4: Simplify right side
    87,708x = 5,805,420,586.56
  5. Step 5: Solve for x
    x = 5,805,420,586.56/87,708
  6. Step 6: Final answer
    x = 66,190.32

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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.