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Finding the Fourth Proportional to 208,309.44, 287,467.20 and 112,816.32

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Solution

The fourth proportional to 208,309.44, 287,467.20 and 112,816.32 is: 155,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,309.44 : 287,467.20 = 112,816.32 : x
  2. Step 2: Convert to fraction form
    208,309.44/287,467.20 = 112,816.32/x
  3. Step 3: Cross multiply
    208,309.44x = 287,467.20 × 112,816.32
  4. Step 4: Simplify right side
    208,309.44x = 32,430,991,624.70
  5. Step 5: Solve for x
    x = 32,430,991,624.70/208,309.44
  6. Step 6: Final answer
    x = 155,686.62

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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.