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Finding the Fourth Proportional to 54,270, 74,886.48 and 31,613.76

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Solution

The fourth proportional to 54,270, 74,886.48 and 31,613.76 is: 43,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,270 : 74,886.48 = 31,613.76 : x
  2. Step 2: Convert to fraction form
    54,270/74,886.48 = 31,613.76/x
  3. Step 3: Cross multiply
    54,270x = 74,886.48 × 31,613.76
  4. Step 4: Simplify right side
    54,270x = 2,367,443,205.96
  5. Step 5: Solve for x
    x = 2,367,443,205.96/54,270
  6. Step 6: Final answer
    x = 43,623.42

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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.