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Finding the Fourth Proportional to 55,490.49, 83,227.49 and 20,421.94

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Solution

The fourth proportional to 55,490.49, 83,227.49 and 20,421.94 is: 30,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,490.49 : 83,227.49 = 20,421.94 : x
  2. Step 2: Convert to fraction form
    55,490.49/83,227.49 = 20,421.94/x
  3. Step 3: Cross multiply
    55,490.49x = 83,227.49 × 20,421.94
  4. Step 4: Simplify right side
    55,490.49x = 1,699,666,807.13
  5. Step 5: Solve for x
    x = 1,699,666,807.13/55,490.49
  6. Step 6: Final answer
    x = 30,629.88

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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.