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Finding the Fourth Proportional to 208,123.97, 287,219.30 and 117,483.17

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Solution

The fourth proportional to 208,123.97, 287,219.30 and 117,483.17 is: 162,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,123.97 : 287,219.30 = 117,483.17 : x
  2. Step 2: Convert to fraction form
    208,123.97/287,219.30 = 117,483.17/x
  3. Step 3: Cross multiply
    208,123.97x = 287,219.30 × 117,483.17
  4. Step 4: Simplify right side
    208,123.97x = 33,743,431,825.67
  5. Step 5: Solve for x
    x = 33,743,431,825.67/208,123.97
  6. Step 6: Final answer
    x = 162,131.41

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1.5x scale

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.