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Finding the Fourth Proportional to 211,415.75, 317,092.87 and 61,615.82

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Solution

The fourth proportional to 211,415.75, 317,092.87 and 61,615.82 is: 92,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,415.75 : 317,092.87 = 61,615.82 : x
  2. Step 2: Convert to fraction form
    211,415.75/317,092.87 = 61,615.82/x
  3. Step 3: Cross multiply
    211,415.75x = 317,092.87 × 61,615.82
  4. Step 4: Simplify right side
    211,415.75x = 19,537,937,839.90
  5. Step 5: Solve for x
    x = 19,537,937,839.90/211,415.75
  6. Step 6: Final answer
    x = 92,414.77

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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.