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Finding the Fourth Proportional to 55,896.34, 77,135.34 and 30,745.84

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Solution

The fourth proportional to 55,896.34, 77,135.34 and 30,745.84 is: 42,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,896.34 : 77,135.34 = 30,745.84 : x
  2. Step 2: Convert to fraction form
    55,896.34/77,135.34 = 30,745.84/x
  3. Step 3: Cross multiply
    55,896.34x = 77,135.34 × 30,745.84
  4. Step 4: Simplify right side
    55,896.34x = 2,371,590,821.99
  5. Step 5: Solve for x
    x = 2,371,590,821.99/55,896.34
  6. Step 6: Final answer
    x = 42,428.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.