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Finding the Fourth Proportional to 209,771.96, 314,685.36 and 76,714.88

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Solution

The fourth proportional to 209,771.96, 314,685.36 and 76,714.88 is: 115,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,771.96 : 314,685.36 = 76,714.88 : x
  2. Step 2: Convert to fraction form
    209,771.96/314,685.36 = 76,714.88/x
  3. Step 3: Cross multiply
    209,771.96x = 314,685.36 × 76,714.88
  4. Step 4: Simplify right side
    209,771.96x = 24,141,049,630.16
  5. Step 5: Solve for x
    x = 24,141,049,630.16/209,771.96
  6. Step 6: Final answer
    x = 115,082.35

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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.