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Finding the Fourth Proportional to 211,101.76, 316,678.74 and 68,961.34

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Solution

The fourth proportional to 211,101.76, 316,678.74 and 68,961.34 is: 103,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,101.76 : 316,678.74 = 68,961.34 : x
  2. Step 2: Convert to fraction form
    211,101.76/316,678.74 = 68,961.34/x
  3. Step 3: Cross multiply
    211,101.76x = 316,678.74 × 68,961.34
  4. Step 4: Simplify right side
    211,101.76x = 21,838,590,259.91
  5. Step 5: Solve for x
    x = 21,838,590,259.91/211,101.76
  6. Step 6: Final answer
    x = 103,450.54

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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.