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Finding the Fourth Proportional to 230,117.20, 345,305.40 and 89,857.60

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Solution

The fourth proportional to 230,117.20, 345,305.40 and 89,857.60 is: 134,837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,117.20 : 345,305.40 = 89,857.60 : x
  2. Step 2: Convert to fraction form
    230,117.20/345,305.40 = 89,857.60/x
  3. Step 3: Cross multiply
    230,117.20x = 345,305.40 × 89,857.60
  4. Step 4: Simplify right side
    230,117.20x = 31,028,314,511.04
  5. Step 5: Solve for x
    x = 31,028,314,511.04/230,117.20
  6. Step 6: Final answer
    x = 134,837.01

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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.