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Finding the Fourth Proportional to 208,077.86, 287,147.50 and 112,584.26

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Solution

The fourth proportional to 208,077.86, 287,147.50 and 112,584.26 is: 155,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,077.86 : 287,147.50 = 112,584.26 : x
  2. Step 2: Convert to fraction form
    208,077.86/287,147.50 = 112,584.26/x
  3. Step 3: Cross multiply
    208,077.86x = 287,147.50 × 112,584.26
  4. Step 4: Simplify right side
    208,077.86x = 32,328,288,798.35
  5. Step 5: Solve for x
    x = 32,328,288,798.35/208,077.86
  6. Step 6: Final answer
    x = 155,366.31

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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.