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Finding the Fourth Proportional to 208,914.47, 288,308.58 and 118,268.79

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Solution

The fourth proportional to 208,914.47, 288,308.58 and 118,268.79 is: 163,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,914.47 : 288,308.58 = 118,268.79 : x
  2. Step 2: Convert to fraction form
    208,914.47/288,308.58 = 118,268.79/x
  3. Step 3: Cross multiply
    208,914.47x = 288,308.58 × 118,268.79
  4. Step 4: Simplify right side
    208,914.47x = 34,097,906,903.22
  5. Step 5: Solve for x
    x = 34,097,906,903.22/208,914.47
  6. Step 6: Final answer
    x = 163,214.67

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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.