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Finding the Fourth Proportional to 51,814.80, 77,741.40 and 20,672.40

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Solution

The fourth proportional to 51,814.80, 77,741.40 and 20,672.40 is: 31,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814.80 : 77,741.40 = 20,672.40 : x
  2. Step 2: Convert to fraction form
    51,814.80/77,741.40 = 20,672.40/x
  3. Step 3: Cross multiply
    51,814.80x = 77,741.40 × 20,672.40
  4. Step 4: Simplify right side
    51,814.80x = 1,607,101,317.36
  5. Step 5: Solve for x
    x = 1,607,101,317.36/51,814.80
  6. Step 6: Final answer
    x = 31,016.26

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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.