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Finding the Fourth Proportional to 153,606, 211,976.28 and 82,950

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Solution

The fourth proportional to 153,606, 211,976.28 and 82,950 is: 114,471

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,606 : 211,976.28 = 82,950 : x
  2. Step 2: Convert to fraction form
    153,606/211,976.28 = 82,950/x
  3. Step 3: Cross multiply
    153,606x = 211,976.28 × 82,950
  4. Step 4: Simplify right side
    153,606x = 17,583,432,426
  5. Step 5: Solve for x
    x = 17,583,432,426/153,606
  6. Step 6: Final answer
    x = 114,471

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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.