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Finding the Fourth Proportional to 100,440, 138,607.20 and 55,728

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Solution

The fourth proportional to 100,440, 138,607.20 and 55,728 is: 76,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,440 : 138,607.20 = 55,728 : x
  2. Step 2: Convert to fraction form
    100,440/138,607.20 = 55,728/x
  3. Step 3: Cross multiply
    100,440x = 138,607.20 × 55,728
  4. Step 4: Simplify right side
    100,440x = 7,724,302,041.60
  5. Step 5: Solve for x
    x = 7,724,302,041.60/100,440
  6. Step 6: Final answer
    x = 76,904.64

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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.