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Finding the Fourth Proportional to 201,270.10, 301,941.60 and 101,178.40

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Solution

The fourth proportional to 201,270.10, 301,941.60 and 101,178.40 is: 151,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,270.10 : 301,941.60 = 101,178.40 : x
  2. Step 2: Convert to fraction form
    201,270.10/301,941.60 = 101,178.40/x
  3. Step 3: Cross multiply
    201,270.10x = 301,941.60 × 101,178.40
  4. Step 4: Simplify right side
    201,270.10x = 30,549,967,981.44
  5. Step 5: Solve for x
    x = 30,549,967,981.44/201,270.10
  6. Step 6: Final answer
    x = 151,785.92

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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.