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Finding the Fourth Proportional to 76,969.76, 106,181.80 and 50,102.44

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Solution

The fourth proportional to 76,969.76, 106,181.80 and 50,102.44 is: 69,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,969.76 : 106,181.80 = 50,102.44 : x
  2. Step 2: Convert to fraction form
    76,969.76/106,181.80 = 50,102.44/x
  3. Step 3: Cross multiply
    76,969.76x = 106,181.80 × 50,102.44
  4. Step 4: Simplify right side
    76,969.76x = 5,319,967,263.59
  5. Step 5: Solve for x
    x = 5,319,967,263.59/76,969.76
  6. Step 6: Final answer
    x = 69,117.63

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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.