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Finding the Fourth Proportional to 208,376.42, 287,542.37 and 117,740.25

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Solution

The fourth proportional to 208,376.42, 287,542.37 and 117,740.25 is: 162,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,376.42 : 287,542.37 = 117,740.25 : x
  2. Step 2: Convert to fraction form
    208,376.42/287,542.37 = 117,740.25/x
  3. Step 3: Cross multiply
    208,376.42x = 287,542.37 × 117,740.25
  4. Step 4: Simplify right side
    208,376.42x = 33,855,310,823.74
  5. Step 5: Solve for x
    x = 33,855,310,823.74/208,376.42
  6. Step 6: Final answer
    x = 162,471.89

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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.