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Finding the Fourth Proportional to 270,158.63, 405,237.95 and 103,907.75

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Solution

The fourth proportional to 270,158.63, 405,237.95 and 103,907.75 is: 155,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,158.63 : 405,237.95 = 103,907.75 : x
  2. Step 2: Convert to fraction form
    270,158.63/405,237.95 = 103,907.75/x
  3. Step 3: Cross multiply
    270,158.63x = 405,237.95 × 103,907.75
  4. Step 4: Simplify right side
    270,158.63x = 42,107,363,079.57
  5. Step 5: Solve for x
    x = 42,107,363,079.57/270,158.63
  6. Step 6: Final answer
    x = 155,861.63

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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.