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Finding the Fourth Proportional to 208,450.96, 287,661.60 and 112,960

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Solution

The fourth proportional to 208,450.96, 287,661.60 and 112,960 is: 155,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,450.96 : 287,661.60 = 112,960 : x
  2. Step 2: Convert to fraction form
    208,450.96/287,661.60 = 112,960/x
  3. Step 3: Cross multiply
    208,450.96x = 287,661.60 × 112,960
  4. Step 4: Simplify right side
    208,450.96x = 32,494,254,336.00
  5. Step 5: Solve for x
    x = 32,494,254,336.00/208,450.96
  6. Step 6: Final answer
    x = 155,884.41

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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.