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Finding the Fourth Proportional to 100,477, 138,664.74 and 55,765

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Solution

The fourth proportional to 100,477, 138,664.74 and 55,765 is: 76,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,477 : 138,664.74 = 55,765 : x
  2. Step 2: Convert to fraction form
    100,477/138,664.74 = 55,765/x
  3. Step 3: Cross multiply
    100,477x = 138,664.74 × 55,765
  4. Step 4: Simplify right side
    100,477x = 7,732,639,226.10
  5. Step 5: Solve for x
    x = 7,732,639,226.10/100,477
  6. Step 6: Final answer
    x = 76,959.30

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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.