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Finding the Fourth Proportional to 277,935, 416,925.54 and 80,943

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Solution

The fourth proportional to 277,935, 416,925.54 and 80,943 is: 121,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,935 : 416,925.54 = 80,943 : x
  2. Step 2: Convert to fraction form
    277,935/416,925.54 = 80,943/x
  3. Step 3: Cross multiply
    277,935x = 416,925.54 × 80,943
  4. Step 4: Simplify right side
    277,935x = 33,747,203,984.22
  5. Step 5: Solve for x
    x = 33,747,203,984.22/277,935
  6. Step 6: Final answer
    x = 121,421.21

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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.