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Finding the Fourth Proportional to 117,764, 162,516.88 and 64,772

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Solution

The fourth proportional to 117,764, 162,516.88 and 64,772 is: 89,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,764 : 162,516.88 = 64,772 : x
  2. Step 2: Convert to fraction form
    117,764/162,516.88 = 64,772/x
  3. Step 3: Cross multiply
    117,764x = 162,516.88 × 64,772
  4. Step 4: Simplify right side
    117,764x = 10,526,543,351.36
  5. Step 5: Solve for x
    x = 10,526,543,351.36/117,764
  6. Step 6: Final answer
    x = 89,386.77

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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.