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Finding the Fourth Proportional to 100,665.47, 138,918.44 and 55,346.38

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Solution

The fourth proportional to 100,665.47, 138,918.44 and 55,346.38 is: 76,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,665.47 : 138,918.44 = 55,346.38 : x
  2. Step 2: Convert to fraction form
    100,665.47/138,918.44 = 55,346.38/x
  3. Step 3: Cross multiply
    100,665.47x = 138,918.44 × 55,346.38
  4. Step 4: Simplify right side
    100,665.47x = 7,688,632,769.25
  5. Step 5: Solve for x
    x = 7,688,632,769.25/100,665.47
  6. Step 6: Final answer
    x = 76,378.05

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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.