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Finding the Fourth Proportional to 211,176, 316,696.92 and 68,988.87

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Solution

The fourth proportional to 211,176, 316,696.92 and 68,988.87 is: 103,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,176 : 316,696.92 = 68,988.87 : x
  2. Step 2: Convert to fraction form
    211,176/316,696.92 = 68,988.87/x
  3. Step 3: Cross multiply
    211,176x = 316,696.92 × 68,988.87
  4. Step 4: Simplify right side
    211,176x = 21,848,562,643.28
  5. Step 5: Solve for x
    x = 21,848,562,643.28/211,176
  6. Step 6: Final answer
    x = 103,461.39

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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.