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Finding the Fourth Proportional to 100,683.42, 138,943.62 and 55,364.32

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Solution

The fourth proportional to 100,683.42, 138,943.62 and 55,364.32 is: 76,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683.42 : 138,943.62 = 55,364.32 : x
  2. Step 2: Convert to fraction form
    100,683.42/138,943.62 = 55,364.32/x
  3. Step 3: Cross multiply
    100,683.42x = 138,943.62 × 55,364.32
  4. Step 4: Simplify right side
    100,683.42x = 7,692,519,039.64
  5. Step 5: Solve for x
    x = 7,692,519,039.64/100,683.42
  6. Step 6: Final answer
    x = 76,403.04

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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.