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Finding the Fourth Proportional to 211,278.16, 316,736.60 and 78,133.60

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Solution

The fourth proportional to 211,278.16, 316,736.60 and 78,133.60 is: 117,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,278.16 : 316,736.60 = 78,133.60 : x
  2. Step 2: Convert to fraction form
    211,278.16/316,736.60 = 78,133.60/x
  3. Step 3: Cross multiply
    211,278.16x = 316,736.60 × 78,133.60
  4. Step 4: Simplify right side
    211,278.16x = 24,747,770,809.76
  5. Step 5: Solve for x
    x = 24,747,770,809.76/211,278.16
  6. Step 6: Final answer
    x = 117,133.60

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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.