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Finding the Fourth Proportional to 145,274.68, 200,474.42 and 80,743.60

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Solution

The fourth proportional to 145,274.68, 200,474.42 and 80,743.60 is: 111,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,274.68 : 200,474.42 = 80,743.60 : x
  2. Step 2: Convert to fraction form
    145,274.68/200,474.42 = 80,743.60/x
  3. Step 3: Cross multiply
    145,274.68x = 200,474.42 × 80,743.60
  4. Step 4: Simplify right side
    145,274.68x = 16,187,026,378.71
  5. Step 5: Solve for x
    x = 16,187,026,378.71/145,274.68
  6. Step 6: Final answer
    x = 111,423.59

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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.