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Finding the Fourth Proportional to 77,647.98, 107,158.14 and 47,428.41

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Solution

The fourth proportional to 77,647.98, 107,158.14 and 47,428.41 is: 65,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,647.98 : 107,158.14 = 47,428.41 : x
  2. Step 2: Convert to fraction form
    77,647.98/107,158.14 = 47,428.41/x
  3. Step 3: Cross multiply
    77,647.98x = 107,158.14 × 47,428.41
  4. Step 4: Simplify right side
    77,647.98x = 5,082,340,198.76
  5. Step 5: Solve for x
    x = 5,082,340,198.76/77,647.98
  6. Step 6: Final answer
    x = 65,453.60

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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.