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Finding the Fourth Proportional to 260,686, 359,746.68 and 141,454

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Solution

The fourth proportional to 260,686, 359,746.68 and 141,454 is: 195,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,686 : 359,746.68 = 141,454 : x
  2. Step 2: Convert to fraction form
    260,686/359,746.68 = 141,454/x
  3. Step 3: Cross multiply
    260,686x = 359,746.68 × 141,454
  4. Step 4: Simplify right side
    260,686x = 50,887,606,872.72
  5. Step 5: Solve for x
    x = 50,887,606,872.72/260,686
  6. Step 6: Final answer
    x = 195,206.52

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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.