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Finding the Fourth Proportional to 116,789, 161,169 and 66,488

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Solution

The fourth proportional to 116,789, 161,169 and 66,488 is: 91,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,789 : 161,169 = 66,488 : x
  2. Step 2: Convert to fraction form
    116,789/161,169 = 66,488/x
  3. Step 3: Cross multiply
    116,789x = 161,169 × 66,488
  4. Step 4: Simplify right side
    116,789x = 10,715,804,472
  5. Step 5: Solve for x
    x = 10,715,804,472/116,789
  6. Step 6: Final answer
    x = 91,753.54

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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.