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Finding the Fourth Proportional to 230,701.41, 345,840.70 and 80,860.02

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Solution

The fourth proportional to 230,701.41, 345,840.70 and 80,860.02 is: 121,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,701.41 : 345,840.70 = 80,860.02 : x
  2. Step 2: Convert to fraction form
    230,701.41/345,840.70 = 80,860.02/x
  3. Step 3: Cross multiply
    230,701.41x = 345,840.70 × 80,860.02
  4. Step 4: Simplify right side
    230,701.41x = 27,964,685,918.81
  5. Step 5: Solve for x
    x = 27,964,685,918.81/230,701.41
  6. Step 6: Final answer
    x = 121,215.93

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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.