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Finding the Fourth Proportional to 106,806.60, 160,069.74 and 78,594.55

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Solution

The fourth proportional to 106,806.60, 160,069.74 and 78,594.55 is: 117,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806.60 : 160,069.74 = 78,594.55 : x
  2. Step 2: Convert to fraction form
    106,806.60/160,069.74 = 78,594.55/x
  3. Step 3: Cross multiply
    106,806.60x = 160,069.74 × 78,594.55
  4. Step 4: Simplify right side
    106,806.60x = 12,580,610,052.55
  5. Step 5: Solve for x
    x = 12,580,610,052.55/106,806.60
  6. Step 6: Final answer
    x = 117,788.70

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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.