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Finding the Fourth Proportional to 150,987, 208,366.10 and 82,081.11

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Solution

The fourth proportional to 150,987, 208,366.10 and 82,081.11 is: 113,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,987 : 208,366.10 = 82,081.11 : x
  2. Step 2: Convert to fraction form
    150,987/208,366.10 = 82,081.11/x
  3. Step 3: Cross multiply
    150,987x = 208,366.10 × 82,081.11
  4. Step 4: Simplify right side
    150,987x = 17,102,920,774.37
  5. Step 5: Solve for x
    x = 17,102,920,774.37/150,987
  6. Step 6: Final answer
    x = 113,274.13

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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.