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Finding the Fourth Proportional to 100,683.82, 138,945.30 and 55,363.78

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Solution

The fourth proportional to 100,683.82, 138,945.30 and 55,363.78 is: 76,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683.82 : 138,945.30 = 55,363.78 : x
  2. Step 2: Convert to fraction form
    100,683.82/138,945.30 = 55,363.78/x
  3. Step 3: Cross multiply
    100,683.82x = 138,945.30 × 55,363.78
  4. Step 4: Simplify right side
    100,683.82x = 7,692,537,021.23
  5. Step 5: Solve for x
    x = 7,692,537,021.23/100,683.82
  6. Step 6: Final answer
    x = 76,402.91

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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.