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Finding the Fourth Proportional to 253,077.30, 349,230.06 and 145,630

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Solution

The fourth proportional to 253,077.30, 349,230.06 and 145,630 is: 200,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,077.30 : 349,230.06 = 145,630 : x
  2. Step 2: Convert to fraction form
    253,077.30/349,230.06 = 145,630/x
  3. Step 3: Cross multiply
    253,077.30x = 349,230.06 × 145,630
  4. Step 4: Simplify right side
    253,077.30x = 50,858,373,637.80
  5. Step 5: Solve for x
    x = 50,858,373,637.80/253,077.30
  6. Step 6: Final answer
    x = 200,959.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.