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Finding the Fourth Proportional to 53,872, 74,343.36 and 31,520.32

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Solution

The fourth proportional to 53,872, 74,343.36 and 31,520.32 is: 43,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,872 : 74,343.36 = 31,520.32 : x
  2. Step 2: Convert to fraction form
    53,872/74,343.36 = 31,520.32/x
  3. Step 3: Cross multiply
    53,872x = 74,343.36 × 31,520.32
  4. Step 4: Simplify right side
    53,872x = 2,343,326,497.08
  5. Step 5: Solve for x
    x = 2,343,326,497.08/53,872
  6. Step 6: Final answer
    x = 43,498.04

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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.