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Finding the Fourth Proportional to 208,108.89, 287,192.31 and 112,617.63

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Solution

The fourth proportional to 208,108.89, 287,192.31 and 112,617.63 is: 155,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,108.89 : 287,192.31 = 112,617.63 : x
  2. Step 2: Convert to fraction form
    208,108.89/287,192.31 = 112,617.63/x
  3. Step 3: Cross multiply
    208,108.89x = 287,192.31 × 112,617.63
  4. Step 4: Simplify right side
    208,108.89x = 32,342,917,306.43
  5. Step 5: Solve for x
    x = 32,342,917,306.43/208,108.89
  6. Step 6: Final answer
    x = 155,413.43

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1.5x scale

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.