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Finding the Fourth Proportional to 208,809.64, 288,157.49 and 113,316.33

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Solution

The fourth proportional to 208,809.64, 288,157.49 and 113,316.33 is: 156,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,809.64 : 288,157.49 = 113,316.33 : x
  2. Step 2: Convert to fraction form
    208,809.64/288,157.49 = 113,316.33/x
  3. Step 3: Cross multiply
    208,809.64x = 288,157.49 × 113,316.33
  4. Step 4: Simplify right side
    208,809.64x = 32,652,949,228.81
  5. Step 5: Solve for x
    x = 32,652,949,228.81/208,809.64
  6. Step 6: Final answer
    x = 156,376.64

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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.