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Finding the Fourth Proportional to 51,603, 77,408.16 and 20,438.25

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Solution

The fourth proportional to 51,603, 77,408.16 and 20,438.25 is: 30,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,603 : 77,408.16 = 20,438.25 : x
  2. Step 2: Convert to fraction form
    51,603/77,408.16 = 20,438.25/x
  3. Step 3: Cross multiply
    51,603x = 77,408.16 × 20,438.25
  4. Step 4: Simplify right side
    51,603x = 1,582,087,326.12
  5. Step 5: Solve for x
    x = 1,582,087,326.12/51,603
  6. Step 6: Final answer
    x = 30,658.82

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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.