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Finding the Fourth Proportional to 260,912, 360,058.56 and 141,680

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Solution

The fourth proportional to 260,912, 360,058.56 and 141,680 is: 195,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,912 : 360,058.56 = 141,680 : x
  2. Step 2: Convert to fraction form
    260,912/360,058.56 = 141,680/x
  3. Step 3: Cross multiply
    260,912x = 360,058.56 × 141,680
  4. Step 4: Simplify right side
    260,912x = 51,013,096,780.80
  5. Step 5: Solve for x
    x = 51,013,096,780.80/260,912
  6. Step 6: Final answer
    x = 195,518.40

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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.