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Finding the Fourth Proportional to 208,314.44, 287,474.10 and 112,821.32

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Solution

The fourth proportional to 208,314.44, 287,474.10 and 112,821.32 is: 155,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,314.44 : 287,474.10 = 112,821.32 : x
  2. Step 2: Convert to fraction form
    208,314.44/287,474.10 = 112,821.32/x
  3. Step 3: Cross multiply
    208,314.44x = 287,474.10 × 112,821.32
  4. Step 4: Simplify right side
    208,314.44x = 32,433,207,427.81
  5. Step 5: Solve for x
    x = 32,433,207,427.81/208,314.44
  6. Step 6: Final answer
    x = 155,693.52

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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.