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Finding the Fourth Proportional to 77,211, 106,478.28 and 50,374.08

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Solution

The fourth proportional to 77,211, 106,478.28 and 50,374.08 is: 69,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,211 : 106,478.28 = 50,374.08 : x
  2. Step 2: Convert to fraction form
    77,211/106,478.28 = 50,374.08/x
  3. Step 3: Cross multiply
    77,211x = 106,478.28 × 50,374.08
  4. Step 4: Simplify right side
    77,211x = 5,363,745,394.98
  5. Step 5: Solve for x
    x = 5,363,745,394.98/77,211
  6. Step 6: Final answer
    x = 69,468.67

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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.