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Finding the Fourth Proportional to 100,494, 138,683.34 and 55,782

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Solution

The fourth proportional to 100,494, 138,683.34 and 55,782 is: 76,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,494 : 138,683.34 = 55,782 : x
  2. Step 2: Convert to fraction form
    100,494/138,683.34 = 55,782/x
  3. Step 3: Cross multiply
    100,494x = 138,683.34 × 55,782
  4. Step 4: Simplify right side
    100,494x = 7,736,034,071.88
  5. Step 5: Solve for x
    x = 7,736,034,071.88/100,494
  6. Step 6: Final answer
    x = 76,980.06

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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.