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Finding the Fourth Proportional to 116,744.32, 161,109.12 and 66,448

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Solution

The fourth proportional to 116,744.32, 161,109.12 and 66,448 is: 91,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,744.32 : 161,109.12 = 66,448 : x
  2. Step 2: Convert to fraction form
    116,744.32/161,109.12 = 66,448/x
  3. Step 3: Cross multiply
    116,744.32x = 161,109.12 × 66,448
  4. Step 4: Simplify right side
    116,744.32x = 10,705,378,805.76
  5. Step 5: Solve for x
    x = 10,705,378,805.76/116,744.32
  6. Step 6: Final answer
    x = 91,699.35

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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.