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Finding the Fourth Proportional to 201,833, 278,538.18 and 112,409

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Solution

The fourth proportional to 201,833, 278,538.18 and 112,409 is: 155,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,833 : 278,538.18 = 112,409 : x
  2. Step 2: Convert to fraction form
    201,833/278,538.18 = 112,409/x
  3. Step 3: Cross multiply
    201,833x = 278,538.18 × 112,409
  4. Step 4: Simplify right side
    201,833x = 31,310,198,275.62
  5. Step 5: Solve for x
    x = 31,310,198,275.62/201,833
  6. Step 6: Final answer
    x = 155,129.23

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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.