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Finding the Fourth Proportional to 221,108, 304,915.92 and 148,674.08

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Solution

The fourth proportional to 221,108, 304,915.92 and 148,674.08 is: 205,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,108 : 304,915.92 = 148,674.08 : x
  2. Step 2: Convert to fraction form
    221,108/304,915.92 = 148,674.08/x
  3. Step 3: Cross multiply
    221,108x = 304,915.92 × 148,674.08
  4. Step 4: Simplify right side
    221,108x = 45,333,093,883.35
  5. Step 5: Solve for x
    x = 45,333,093,883.35/221,108
  6. Step 6: Final answer
    x = 205,026.93

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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.