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Finding the Fourth Proportional to 201,510, 278,085.42 and 112,086

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Solution

The fourth proportional to 201,510, 278,085.42 and 112,086 is: 154,679.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,510 : 278,085.42 = 112,086 : x
  2. Step 2: Convert to fraction form
    201,510/278,085.42 = 112,086/x
  3. Step 3: Cross multiply
    201,510x = 278,085.42 × 112,086
  4. Step 4: Simplify right side
    201,510x = 31,169,482,386.12
  5. Step 5: Solve for x
    x = 31,169,482,386.12/201,510
  6. Step 6: Final answer
    x = 154,679.58

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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.