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Finding the Fourth Proportional to 230,558.94, 345,868.65 and 90,299.34

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Solution

The fourth proportional to 230,558.94, 345,868.65 and 90,299.34 is: 135,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,558.94 : 345,868.65 = 90,299.34 : x
  2. Step 2: Convert to fraction form
    230,558.94/345,868.65 = 90,299.34/x
  3. Step 3: Cross multiply
    230,558.94x = 345,868.65 × 90,299.34
  4. Step 4: Simplify right side
    230,558.94x = 31,231,710,821.69
  5. Step 5: Solve for x
    x = 31,231,710,821.69/230,558.94
  6. Step 6: Final answer
    x = 135,460.85

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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.