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Finding the Fourth Proportional to 208,670.56, 287,971.88 and 118,024.75

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Solution

The fourth proportional to 208,670.56, 287,971.88 and 118,024.75 is: 162,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,670.56 : 287,971.88 = 118,024.75 : x
  2. Step 2: Convert to fraction form
    208,670.56/287,971.88 = 118,024.75/x
  3. Step 3: Cross multiply
    208,670.56x = 287,971.88 × 118,024.75
  4. Step 4: Simplify right side
    208,670.56x = 33,987,809,144.03
  5. Step 5: Solve for x
    x = 33,987,809,144.03/208,670.56
  6. Step 6: Final answer
    x = 162,877.84

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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.