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Finding the Fourth Proportional to 208,321.92, 287,487.05 and 116,437.55

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Solution

The fourth proportional to 208,321.92, 287,487.05 and 116,437.55 is: 160,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,321.92 : 287,487.05 = 116,437.55 : x
  2. Step 2: Convert to fraction form
    208,321.92/287,487.05 = 116,437.55/x
  3. Step 3: Cross multiply
    208,321.92x = 287,487.05 × 116,437.55
  4. Step 4: Simplify right side
    208,321.92x = 33,474,285,739.10
  5. Step 5: Solve for x
    x = 33,474,285,739.10/208,321.92
  6. Step 6: Final answer
    x = 160,685.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.