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Finding the Fourth Proportional to 77,851, 107,451.87 and 50,977.90

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Solution

The fourth proportional to 77,851, 107,451.87 and 50,977.90 is: 70,360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,851 : 107,451.87 = 50,977.90 : x
  2. Step 2: Convert to fraction form
    77,851/107,451.87 = 50,977.90/x
  3. Step 3: Cross multiply
    77,851x = 107,451.87 × 50,977.90
  4. Step 4: Simplify right side
    77,851x = 5,477,670,683.67
  5. Step 5: Solve for x
    x = 5,477,670,683.67/77,851
  6. Step 6: Final answer
    x = 70,360.95

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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.