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Finding the Fourth Proportional to 53,860, 74,326.80 and 31,508.32

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Solution

The fourth proportional to 53,860, 74,326.80 and 31,508.32 is: 43,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,860 : 74,326.80 = 31,508.32 : x
  2. Step 2: Convert to fraction form
    53,860/74,326.80 = 31,508.32/x
  3. Step 3: Cross multiply
    53,860x = 74,326.80 × 31,508.32
  4. Step 4: Simplify right side
    53,860x = 2,341,912,598.98
  5. Step 5: Solve for x
    x = 2,341,912,598.98/53,860
  6. Step 6: Final answer
    x = 43,481.48

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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.