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Finding the Fourth Proportional to 208,114.44, 287,195.58 and 112,619.40

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Solution

The fourth proportional to 208,114.44, 287,195.58 and 112,619.40 is: 155,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,114.44 : 287,195.58 = 112,619.40 : x
  2. Step 2: Convert to fraction form
    208,114.44/287,195.58 = 112,619.40/x
  3. Step 3: Cross multiply
    208,114.44x = 287,195.58 × 112,619.40
  4. Step 4: Simplify right side
    208,114.44x = 32,343,793,902.25
  5. Step 5: Solve for x
    x = 32,343,793,902.25/208,114.44
  6. Step 6: Final answer
    x = 155,413.50

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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.