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Finding the Fourth Proportional to 53,729.50, 80,607.92 and 31,561.63

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Solution

The fourth proportional to 53,729.50, 80,607.92 and 31,561.63 is: 47,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,729.50 : 80,607.92 = 31,561.63 : x
  2. Step 2: Convert to fraction form
    53,729.50/80,607.92 = 31,561.63/x
  3. Step 3: Cross multiply
    53,729.50x = 80,607.92 × 31,561.63
  4. Step 4: Simplify right side
    53,729.50x = 2,544,117,346.11
  5. Step 5: Solve for x
    x = 2,544,117,346.11/53,729.50
  6. Step 6: Final answer
    x = 47,350.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.