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Finding the Fourth Proportional to 201,113.40, 301,478.10 and 74,719.80

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Solution

The fourth proportional to 201,113.40, 301,478.10 and 74,719.80 is: 112,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,113.40 : 301,478.10 = 74,719.80 : x
  2. Step 2: Convert to fraction form
    201,113.40/301,478.10 = 74,719.80/x
  3. Step 3: Cross multiply
    201,113.40x = 301,478.10 × 74,719.80
  4. Step 4: Simplify right side
    201,113.40x = 22,526,383,336.38
  5. Step 5: Solve for x
    x = 22,526,383,336.38/201,113.40
  6. Step 6: Final answer
    x = 112,008.37

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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.