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Finding the Fourth Proportional to 103,422, 155,133 and 33,308.40

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Solution

The fourth proportional to 103,422, 155,133 and 33,308.40 is: 49,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,422 : 155,133 = 33,308.40 : x
  2. Step 2: Convert to fraction form
    103,422/155,133 = 33,308.40/x
  3. Step 3: Cross multiply
    103,422x = 155,133 × 33,308.40
  4. Step 4: Simplify right side
    103,422x = 5,167,232,017.20
  5. Step 5: Solve for x
    x = 5,167,232,017.20/103,422
  6. Step 6: Final answer
    x = 49,962.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.