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Finding the Fourth Proportional to 208,666.85, 287,958.15 and 118,040.49

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Solution

The fourth proportional to 208,666.85, 287,958.15 and 118,040.49 is: 162,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,666.85 : 287,958.15 = 118,040.49 : x
  2. Step 2: Convert to fraction form
    208,666.85/287,958.15 = 118,040.49/x
  3. Step 3: Cross multiply
    208,666.85x = 287,958.15 × 118,040.49
  4. Step 4: Simplify right side
    208,666.85x = 33,990,721,125.49
  5. Step 5: Solve for x
    x = 33,990,721,125.49/208,666.85
  6. Step 6: Final answer
    x = 162,894.69

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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.