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Finding the Fourth Proportional to 145,969.57, 218,850.54 and 55,936

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Solution

The fourth proportional to 145,969.57, 218,850.54 and 55,936 is: 83,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,969.57 : 218,850.54 = 55,936 : x
  2. Step 2: Convert to fraction form
    145,969.57/218,850.54 = 55,936/x
  3. Step 3: Cross multiply
    145,969.57x = 218,850.54 × 55,936
  4. Step 4: Simplify right side
    145,969.57x = 12,241,623,805.44
  5. Step 5: Solve for x
    x = 12,241,623,805.44/145,969.57
  6. Step 6: Final answer
    x = 83,864.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.