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Finding the Fourth Proportional to 55,678.70, 83,408.70 and 51,742.10

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Solution

The fourth proportional to 55,678.70, 83,408.70 and 51,742.10 is: 77,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,678.70 : 83,408.70 = 51,742.10 : x
  2. Step 2: Convert to fraction form
    55,678.70/83,408.70 = 51,742.10/x
  3. Step 3: Cross multiply
    55,678.70x = 83,408.70 × 51,742.10
  4. Step 4: Simplify right side
    55,678.70x = 4,315,741,296.27
  5. Step 5: Solve for x
    x = 4,315,741,296.27/55,678.70
  6. Step 6: Final answer
    x = 77,511.53

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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.