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Finding the Fourth Proportional to 87,312, 120,490.56 and 47,568

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Solution

The fourth proportional to 87,312, 120,490.56 and 47,568 is: 65,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,312 : 120,490.56 = 47,568 : x
  2. Step 2: Convert to fraction form
    87,312/120,490.56 = 47,568/x
  3. Step 3: Cross multiply
    87,312x = 120,490.56 × 47,568
  4. Step 4: Simplify right side
    87,312x = 5,731,494,958.08
  5. Step 5: Solve for x
    x = 5,731,494,958.08/87,312
  6. Step 6: Final answer
    x = 65,643.84

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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.