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Finding the Fourth Proportional to 208,486.13, 287,703.13 and 112,990.78

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Solution

The fourth proportional to 208,486.13, 287,703.13 and 112,990.78 is: 155,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,486.13 : 287,703.13 = 112,990.78 : x
  2. Step 2: Convert to fraction form
    208,486.13/287,703.13 = 112,990.78/x
  3. Step 3: Cross multiply
    208,486.13x = 287,703.13 × 112,990.78
  4. Step 4: Simplify right side
    208,486.13x = 32,507,801,067.14
  5. Step 5: Solve for x
    x = 32,507,801,067.14/208,486.13
  6. Step 6: Final answer
    x = 155,923.09

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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.