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Finding the Fourth Proportional to 152,973.50, 211,103.11 and 84,996.78

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Solution

The fourth proportional to 152,973.50, 211,103.11 and 84,996.78 is: 117,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,973.50 : 211,103.11 = 84,996.78 : x
  2. Step 2: Convert to fraction form
    152,973.50/211,103.11 = 84,996.78/x
  3. Step 3: Cross multiply
    152,973.50x = 211,103.11 × 84,996.78
  4. Step 4: Simplify right side
    152,973.50x = 17,943,083,912.60
  5. Step 5: Solve for x
    x = 17,943,083,912.60/152,973.50
  6. Step 6: Final answer
    x = 117,295.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.