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Finding the Fourth Proportional to 100,683.36, 138,946.61 and 55,364.79

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Solution

The fourth proportional to 100,683.36, 138,946.61 and 55,364.79 is: 76,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683.36 : 138,946.61 = 55,364.79 : x
  2. Step 2: Convert to fraction form
    100,683.36/138,946.61 = 55,364.79/x
  3. Step 3: Cross multiply
    100,683.36x = 138,946.61 × 55,364.79
  4. Step 4: Simplify right side
    100,683.36x = 7,692,749,607.04
  5. Step 5: Solve for x
    x = 7,692,749,607.04/100,683.36
  6. Step 6: Final answer
    x = 76,405.37

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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.