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Finding the Fourth Proportional to 211,042, 316,640.76 and 111,198.16

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Solution

The fourth proportional to 211,042, 316,640.76 and 111,198.16 is: 166,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,042 : 316,640.76 = 111,198.16 : x
  2. Step 2: Convert to fraction form
    211,042/316,640.76 = 111,198.16/x
  3. Step 3: Cross multiply
    211,042x = 316,640.76 × 111,198.16
  4. Step 4: Simplify right side
    211,042x = 35,209,869,893.00
  5. Step 5: Solve for x
    x = 35,209,869,893.00/211,042
  6. Step 6: Final answer
    x = 166,838.21

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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.