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Finding the Fourth Proportional to 208,102.24, 287,180.64 and 112,608.90

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Solution

The fourth proportional to 208,102.24, 287,180.64 and 112,608.90 is: 155,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,102.24 : 287,180.64 = 112,608.90 : x
  2. Step 2: Convert to fraction form
    208,102.24/287,180.64 = 112,608.90/x
  3. Step 3: Cross multiply
    208,102.24x = 287,180.64 × 112,608.90
  4. Step 4: Simplify right side
    208,102.24x = 32,339,095,971.70
  5. Step 5: Solve for x
    x = 32,339,095,971.70/208,102.24
  6. Step 6: Final answer
    x = 155,400.04

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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.