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Finding the Fourth Proportional to 117,774, 162,530.68 and 64,782

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Solution

The fourth proportional to 117,774, 162,530.68 and 64,782 is: 89,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,774 : 162,530.68 = 64,782 : x
  2. Step 2: Convert to fraction form
    117,774/162,530.68 = 64,782/x
  3. Step 3: Cross multiply
    117,774x = 162,530.68 × 64,782
  4. Step 4: Simplify right side
    117,774x = 10,529,062,511.76
  5. Step 5: Solve for x
    x = 10,529,062,511.76/117,774
  6. Step 6: Final answer
    x = 89,400.57

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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.