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Finding the Fourth Proportional to 103,722.40, 155,583.60 and 78,839.20

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Solution

The fourth proportional to 103,722.40, 155,583.60 and 78,839.20 is: 118,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,722.40 : 155,583.60 = 78,839.20 : x
  2. Step 2: Convert to fraction form
    103,722.40/155,583.60 = 78,839.20/x
  3. Step 3: Cross multiply
    103,722.40x = 155,583.60 × 78,839.20
  4. Step 4: Simplify right side
    103,722.40x = 12,266,086,557.12
  5. Step 5: Solve for x
    x = 12,266,086,557.12/103,722.40
  6. Step 6: Final answer
    x = 118,258.80

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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.