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Finding the Fourth Proportional to 145,596.30, 200,914.47 and 81,930.30

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Solution

The fourth proportional to 145,596.30, 200,914.47 and 81,930.30 is: 113,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,596.30 : 200,914.47 = 81,930.30 : x
  2. Step 2: Convert to fraction form
    145,596.30/200,914.47 = 81,930.30/x
  3. Step 3: Cross multiply
    145,596.30x = 200,914.47 × 81,930.30
  4. Step 4: Simplify right side
    145,596.30x = 16,460,982,801.44
  5. Step 5: Solve for x
    x = 16,460,982,801.44/145,596.30
  6. Step 6: Final answer
    x = 113,059.07

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1.5x scale

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.