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Finding the Fourth Proportional to 211,504.76, 316,834.12 and 127,218.36

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Solution

The fourth proportional to 211,504.76, 316,834.12 and 127,218.36 is: 190,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,504.76 : 316,834.12 = 127,218.36 : x
  2. Step 2: Convert to fraction form
    211,504.76/316,834.12 = 127,218.36/x
  3. Step 3: Cross multiply
    211,504.76x = 316,834.12 × 127,218.36
  4. Step 4: Simplify right side
    211,504.76x = 40,307,117,138.44
  5. Step 5: Solve for x
    x = 40,307,117,138.44/211,504.76
  6. Step 6: Final answer
    x = 190,573.10

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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.