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Finding the Fourth Proportional to 116,999.76, 161,448.80 and 71,657.04

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Solution

The fourth proportional to 116,999.76, 161,448.80 and 71,657.04 is: 98,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,999.76 : 161,448.80 = 71,657.04 : x
  2. Step 2: Convert to fraction form
    116,999.76/161,448.80 = 71,657.04/x
  3. Step 3: Cross multiply
    116,999.76x = 161,448.80 × 71,657.04
  4. Step 4: Simplify right side
    116,999.76x = 11,568,943,119.55
  5. Step 5: Solve for x
    x = 11,568,943,119.55/116,999.76
  6. Step 6: Final answer
    x = 98,880.06

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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.