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Finding the Fourth Proportional to 191,978.40, 287,724.60 and 73,491.60

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Solution

The fourth proportional to 191,978.40, 287,724.60 and 73,491.60 is: 110,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,978.40 : 287,724.60 = 73,491.60 : x
  2. Step 2: Convert to fraction form
    191,978.40/287,724.60 = 73,491.60/x
  3. Step 3: Cross multiply
    191,978.40x = 287,724.60 × 73,491.60
  4. Step 4: Simplify right side
    191,978.40x = 21,145,341,213.36
  5. Step 5: Solve for x
    x = 21,145,341,213.36/191,978.40
  6. Step 6: Final answer
    x = 110,144.38

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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.