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Finding the Fourth Proportional to 118,997, 178,495.50 and 45,125

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Solution

The fourth proportional to 118,997, 178,495.50 and 45,125 is: 67,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,997 : 178,495.50 = 45,125 : x
  2. Step 2: Convert to fraction form
    118,997/178,495.50 = 45,125/x
  3. Step 3: Cross multiply
    118,997x = 178,495.50 × 45,125
  4. Step 4: Simplify right side
    118,997x = 8,054,609,437.50
  5. Step 5: Solve for x
    x = 8,054,609,437.50/118,997
  6. Step 6: Final answer
    x = 67,687.50

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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.