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Finding the Fourth Proportional to 99,944, 137,923.12 and 55,232

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Solution

The fourth proportional to 99,944, 137,923.12 and 55,232 is: 76,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,944 : 137,923.12 = 55,232 : x
  2. Step 2: Convert to fraction form
    99,944/137,923.12 = 55,232/x
  3. Step 3: Cross multiply
    99,944x = 137,923.12 × 55,232
  4. Step 4: Simplify right side
    99,944x = 7,617,769,763.84
  5. Step 5: Solve for x
    x = 7,617,769,763.84/99,944
  6. Step 6: Final answer
    x = 76,220.38

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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.