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Finding the Fourth Proportional to 226,805.67, 312,986.05 and 123,435.50

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Solution

The fourth proportional to 226,805.67, 312,986.05 and 123,435.50 is: 170,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,805.67 : 312,986.05 = 123,435.50 : x
  2. Step 2: Convert to fraction form
    226,805.67/312,986.05 = 123,435.50/x
  3. Step 3: Cross multiply
    226,805.67x = 312,986.05 × 123,435.50
  4. Step 4: Simplify right side
    226,805.67x = 38,633,587,701.26
  5. Step 5: Solve for x
    x = 38,633,587,701.26/226,805.67
  6. Step 6: Final answer
    x = 170,337.84

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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.