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Finding the Fourth Proportional to 117,766, 162,519.64 and 64,774

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Solution

The fourth proportional to 117,766, 162,519.64 and 64,774 is: 89,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,766 : 162,519.64 = 64,774 : x
  2. Step 2: Convert to fraction form
    117,766/162,519.64 = 64,774/x
  3. Step 3: Cross multiply
    117,766x = 162,519.64 × 64,774
  4. Step 4: Simplify right side
    117,766x = 10,527,047,161.36
  5. Step 5: Solve for x
    x = 10,527,047,161.36/117,766
  6. Step 6: Final answer
    x = 89,389.53

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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.