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Finding the Fourth Proportional to 230,536.56, 345,960.40 and 90,277.68

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Solution

The fourth proportional to 230,536.56, 345,960.40 and 90,277.68 is: 135,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,536.56 : 345,960.40 = 90,277.68 : x
  2. Step 2: Convert to fraction form
    230,536.56/345,960.40 = 90,277.68/x
  3. Step 3: Cross multiply
    230,536.56x = 345,960.40 × 90,277.68
  4. Step 4: Simplify right side
    230,536.56x = 31,232,502,283.87
  5. Step 5: Solve for x
    x = 31,232,502,283.87/230,536.56
  6. Step 6: Final answer
    x = 135,477.44

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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.