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Finding the Fourth Proportional to 105,609, 145,806.66 and 67,948.68

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Solution

The fourth proportional to 105,609, 145,806.66 and 67,948.68 is: 93,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,609 : 145,806.66 = 67,948.68 : x
  2. Step 2: Convert to fraction form
    105,609/145,806.66 = 67,948.68/x
  3. Step 3: Cross multiply
    105,609x = 145,806.66 × 67,948.68
  4. Step 4: Simplify right side
    105,609x = 9,907,370,082.21
  5. Step 5: Solve for x
    x = 9,907,370,082.21/105,609
  6. Step 6: Final answer
    x = 93,811.80

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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.