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Finding the Fourth Proportional to 116,769, 161,141.40 and 66,468

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Solution

The fourth proportional to 116,769, 161,141.40 and 66,468 is: 91,725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,769 : 161,141.40 = 66,468 : x
  2. Step 2: Convert to fraction form
    116,769/161,141.40 = 66,468/x
  3. Step 3: Cross multiply
    116,769x = 161,141.40 × 66,468
  4. Step 4: Simplify right side
    116,769x = 10,710,746,575.20
  5. Step 5: Solve for x
    x = 10,710,746,575.20/116,769
  6. Step 6: Final answer
    x = 91,725.94

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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.