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Finding the Fourth Proportional to 208,424.34, 287,621.80 and 117,778.34

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Solution

The fourth proportional to 208,424.34, 287,621.80 and 117,778.34 is: 162,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,424.34 : 287,621.80 = 117,778.34 : x
  2. Step 2: Convert to fraction form
    208,424.34/287,621.80 = 117,778.34/x
  3. Step 3: Cross multiply
    208,424.34x = 287,621.80 × 117,778.34
  4. Step 4: Simplify right side
    208,424.34x = 33,875,618,151.81
  5. Step 5: Solve for x
    x = 33,875,618,151.81/208,424.34
  6. Step 6: Final answer
    x = 162,531.97

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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.