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Finding the Fourth Proportional to 53,777.50, 80,666.34 and 20,945.50

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Solution

The fourth proportional to 53,777.50, 80,666.34 and 20,945.50 is: 31,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,777.50 : 80,666.34 = 20,945.50 : x
  2. Step 2: Convert to fraction form
    53,777.50/80,666.34 = 20,945.50/x
  3. Step 3: Cross multiply
    53,777.50x = 80,666.34 × 20,945.50
  4. Step 4: Simplify right side
    53,777.50x = 1,689,596,824.47
  5. Step 5: Solve for x
    x = 1,689,596,824.47/53,777.50
  6. Step 6: Final answer
    x = 31,418.29

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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.