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Finding the Fourth Proportional to 208,490.78, 287,717.10 and 112,997.45

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Solution

The fourth proportional to 208,490.78, 287,717.10 and 112,997.45 is: 155,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,490.78 : 287,717.10 = 112,997.45 : x
  2. Step 2: Convert to fraction form
    208,490.78/287,717.10 = 112,997.45/x
  3. Step 3: Cross multiply
    208,490.78x = 287,717.10 × 112,997.45
  4. Step 4: Simplify right side
    208,490.78x = 32,511,297,182.81
  5. Step 5: Solve for x
    x = 32,511,297,182.81/208,490.78
  6. Step 6: Final answer
    x = 155,936.38

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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.