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Finding the Fourth Proportional to 260,916.94, 391,342.74 and 83,409.22

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Solution

The fourth proportional to 260,916.94, 391,342.74 and 83,409.22 is: 125,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,916.94 : 391,342.74 = 83,409.22 : x
  2. Step 2: Convert to fraction form
    260,916.94/391,342.74 = 83,409.22/x
  3. Step 3: Cross multiply
    260,916.94x = 391,342.74 × 83,409.22
  4. Step 4: Simplify right side
    260,916.94x = 32,641,592,696.06
  5. Step 5: Solve for x
    x = 32,641,592,696.06/260,916.94
  6. Step 6: Final answer
    x = 125,103.39

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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.