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Finding the Fourth Proportional to 230,101.40, 345,011.16 and 89,696

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Solution

The fourth proportional to 230,101.40, 345,011.16 and 89,696 is: 134,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,101.40 : 345,011.16 = 89,696 : x
  2. Step 2: Convert to fraction form
    230,101.40/345,011.16 = 89,696/x
  3. Step 3: Cross multiply
    230,101.40x = 345,011.16 × 89,696
  4. Step 4: Simplify right side
    230,101.40x = 30,946,121,007.36
  5. Step 5: Solve for x
    x = 30,946,121,007.36/230,101.40
  6. Step 6: Final answer
    x = 134,489.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.