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Finding the Fourth Proportional to 268,881.42, 371,042.88 and 148,019.60

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Solution

The fourth proportional to 268,881.42, 371,042.88 and 148,019.60 is: 204,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,881.42 : 371,042.88 = 148,019.60 : x
  2. Step 2: Convert to fraction form
    268,881.42/371,042.88 = 148,019.60/x
  3. Step 3: Cross multiply
    268,881.42x = 371,042.88 × 148,019.60
  4. Step 4: Simplify right side
    268,881.42x = 54,921,618,680.45
  5. Step 5: Solve for x
    x = 54,921,618,680.45/268,881.42
  6. Step 6: Final answer
    x = 204,259.63

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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.