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Finding the Fourth Proportional to 227,978.64, 342,021.36 and 70,203.60

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Solution

The fourth proportional to 227,978.64, 342,021.36 and 70,203.60 is: 105,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,978.64 : 342,021.36 = 70,203.60 : x
  2. Step 2: Convert to fraction form
    227,978.64/342,021.36 = 70,203.60/x
  3. Step 3: Cross multiply
    227,978.64x = 342,021.36 × 70,203.60
  4. Step 4: Simplify right side
    227,978.64x = 24,011,130,748.90
  5. Step 5: Solve for x
    x = 24,011,130,748.90/227,978.64
  6. Step 6: Final answer
    x = 105,321.84

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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.