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Finding the Fourth Proportional to 100,666.46, 138,919.81 and 55,345.21

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Solution

The fourth proportional to 100,666.46, 138,919.81 and 55,345.21 is: 76,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,666.46 : 138,919.81 = 55,345.21 : x
  2. Step 2: Convert to fraction form
    100,666.46/138,919.81 = 55,345.21/x
  3. Step 3: Cross multiply
    100,666.46x = 138,919.81 × 55,345.21
  4. Step 4: Simplify right side
    100,666.46x = 7,688,546,419.01
  5. Step 5: Solve for x
    x = 7,688,546,419.01/100,666.46
  6. Step 6: Final answer
    x = 76,376.44

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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.