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Finding the Fourth Proportional to 275,055.84, 412,648.20 and 85,506.48

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Solution

The fourth proportional to 275,055.84, 412,648.20 and 85,506.48 is: 128,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,055.84 : 412,648.20 = 85,506.48 : x
  2. Step 2: Convert to fraction form
    275,055.84/412,648.20 = 85,506.48/x
  3. Step 3: Cross multiply
    275,055.84x = 412,648.20 × 85,506.48
  4. Step 4: Simplify right side
    275,055.84x = 35,284,095,060.34
  5. Step 5: Solve for x
    x = 35,284,095,060.34/275,055.84
  6. Step 6: Final answer
    x = 128,279.75

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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.