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Finding the Fourth Proportional to 208,905.60, 313,410.24 and 97,968

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Solution

The fourth proportional to 208,905.60, 313,410.24 and 97,968 is: 146,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,905.60 : 313,410.24 = 97,968 : x
  2. Step 2: Convert to fraction form
    208,905.60/313,410.24 = 97,968/x
  3. Step 3: Cross multiply
    208,905.60x = 313,410.24 × 97,968
  4. Step 4: Simplify right side
    208,905.60x = 30,704,174,392.32
  5. Step 5: Solve for x
    x = 30,704,174,392.32/208,905.60
  6. Step 6: Final answer
    x = 146,976.31

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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.