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Finding the Fourth Proportional to 53,958, 74,471.76 and 31,602

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Solution

The fourth proportional to 53,958, 74,471.76 and 31,602 is: 43,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,958 : 74,471.76 = 31,602 : x
  2. Step 2: Convert to fraction form
    53,958/74,471.76 = 31,602/x
  3. Step 3: Cross multiply
    53,958x = 74,471.76 × 31,602
  4. Step 4: Simplify right side
    53,958x = 2,353,456,559.52
  5. Step 5: Solve for x
    x = 2,353,456,559.52/53,958
  6. Step 6: Final answer
    x = 43,616.45

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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.