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Finding the Fourth Proportional to 208,129.94, 287,219.31 and 112,636.61

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Solution

The fourth proportional to 208,129.94, 287,219.31 and 112,636.61 is: 155,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,129.94 : 287,219.31 = 112,636.61 : x
  2. Step 2: Convert to fraction form
    208,129.94/287,219.31 = 112,636.61/x
  3. Step 3: Cross multiply
    208,129.94x = 287,219.31 × 112,636.61
  4. Step 4: Simplify right side
    208,129.94x = 32,351,407,968.84
  5. Step 5: Solve for x
    x = 32,351,407,968.84/208,129.94
  6. Step 6: Final answer
    x = 155,438.51

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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.