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Finding the Fourth Proportional to 208,978.70, 313,307.31 and 103,716.02

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Solution

The fourth proportional to 208,978.70, 313,307.31 and 103,716.02 is: 155,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,978.70 : 313,307.31 = 103,716.02 : x
  2. Step 2: Convert to fraction form
    208,978.70/313,307.31 = 103,716.02/x
  3. Step 3: Cross multiply
    208,978.70x = 313,307.31 × 103,716.02
  4. Step 4: Simplify right side
    208,978.70x = 32,494,987,230.11
  5. Step 5: Solve for x
    x = 32,494,987,230.11/208,978.70
  6. Step 6: Final answer
    x = 155,494.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.