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Finding the Fourth Proportional to 211,414.89, 317,168.99 and 61,666.90

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Solution

The fourth proportional to 211,414.89, 317,168.99 and 61,666.90 is: 92,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,414.89 : 317,168.99 = 61,666.90 : x
  2. Step 2: Convert to fraction form
    211,414.89/317,168.99 = 61,666.90/x
  3. Step 3: Cross multiply
    211,414.89x = 317,168.99 × 61,666.90
  4. Step 4: Simplify right side
    211,414.89x = 19,558,827,288.17
  5. Step 5: Solve for x
    x = 19,558,827,288.17/211,414.89
  6. Step 6: Final answer
    x = 92,513.95

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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.