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Finding the Fourth Proportional to 53,120, 73,305.60 and 29,568

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Solution

The fourth proportional to 53,120, 73,305.60 and 29,568 is: 40,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,120 : 73,305.60 = 29,568 : x
  2. Step 2: Convert to fraction form
    53,120/73,305.60 = 29,568/x
  3. Step 3: Cross multiply
    53,120x = 73,305.60 × 29,568
  4. Step 4: Simplify right side
    53,120x = 2,167,499,980.80
  5. Step 5: Solve for x
    x = 2,167,499,980.80/53,120
  6. Step 6: Final answer
    x = 40,803.84

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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.