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Finding the Fourth Proportional to 211,173.56, 316,770.07 and 78,029

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Solution

The fourth proportional to 211,173.56, 316,770.07 and 78,029 is: 117,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,173.56 : 316,770.07 = 78,029 : x
  2. Step 2: Convert to fraction form
    211,173.56/316,770.07 = 78,029/x
  3. Step 3: Cross multiply
    211,173.56x = 316,770.07 × 78,029
  4. Step 4: Simplify right side
    211,173.56x = 24,717,251,792.03
  5. Step 5: Solve for x
    x = 24,717,251,792.03/211,173.56
  6. Step 6: Final answer
    x = 117,047.10

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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.