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Finding the Fourth Proportional to 103,698.60, 155,711.93 and 78,766.80

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Solution

The fourth proportional to 103,698.60, 155,711.93 and 78,766.80 is: 118,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.60 : 155,711.93 = 78,766.80 : x
  2. Step 2: Convert to fraction form
    103,698.60/155,711.93 = 78,766.80/x
  3. Step 3: Cross multiply
    103,698.60x = 155,711.93 × 78,766.80
  4. Step 4: Simplify right side
    103,698.60x = 12,264,930,447.92
  5. Step 5: Solve for x
    x = 12,264,930,447.92/103,698.60
  6. Step 6: Final answer
    x = 118,274.79

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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.