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Finding the Fourth Proportional to 100,732, 139,013.22 and 55,407.64

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Solution

The fourth proportional to 100,732, 139,013.22 and 55,407.64 is: 76,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,732 : 139,013.22 = 55,407.64 : x
  2. Step 2: Convert to fraction form
    100,732/139,013.22 = 55,407.64/x
  3. Step 3: Cross multiply
    100,732x = 139,013.22 × 55,407.64
  4. Step 4: Simplify right side
    100,732x = 7,702,394,449.00
  5. Step 5: Solve for x
    x = 7,702,394,449.00/100,732
  6. Step 6: Final answer
    x = 76,464.23

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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.