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Finding the Fourth Proportional to 201,836, 278,533.68 and 112,412

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Solution

The fourth proportional to 201,836, 278,533.68 and 112,412 is: 155,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,836 : 278,533.68 = 112,412 : x
  2. Step 2: Convert to fraction form
    201,836/278,533.68 = 112,412/x
  3. Step 3: Cross multiply
    201,836x = 278,533.68 × 112,412
  4. Step 4: Simplify right side
    201,836x = 31,310,528,036.16
  5. Step 5: Solve for x
    x = 31,310,528,036.16/201,836
  6. Step 6: Final answer
    x = 155,128.56

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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.