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Finding the Fourth Proportional to 211,212.80, 316,819.20 and 131,314.40

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Solution

The fourth proportional to 211,212.80, 316,819.20 and 131,314.40 is: 196,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,212.80 : 316,819.20 = 131,314.40 : x
  2. Step 2: Convert to fraction form
    211,212.80/316,819.20 = 131,314.40/x
  3. Step 3: Cross multiply
    211,212.80x = 316,819.20 × 131,314.40
  4. Step 4: Simplify right side
    211,212.80x = 41,602,923,156.48
  5. Step 5: Solve for x
    x = 41,602,923,156.48/211,212.80
  6. Step 6: Final answer
    x = 196,971.60

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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.