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Finding the Fourth Proportional to 208,602.81, 287,872.11 and 113,109.75

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Solution

The fourth proportional to 208,602.81, 287,872.11 and 113,109.75 is: 156,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,602.81 : 287,872.11 = 113,109.75 : x
  2. Step 2: Convert to fraction form
    208,602.81/287,872.11 = 113,109.75/x
  3. Step 3: Cross multiply
    208,602.81x = 287,872.11 × 113,109.75
  4. Step 4: Simplify right side
    208,602.81x = 32,561,142,394.07
  5. Step 5: Solve for x
    x = 32,561,142,394.07/208,602.81
  6. Step 6: Final answer
    x = 156,091.58

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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.