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Finding the Fourth Proportional to 270,215.04, 405,225.36 and 92,676

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Solution

The fourth proportional to 270,215.04, 405,225.36 and 92,676 is: 138,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,215.04 : 405,225.36 = 92,676 : x
  2. Step 2: Convert to fraction form
    270,215.04/405,225.36 = 92,676/x
  3. Step 3: Cross multiply
    270,215.04x = 405,225.36 × 92,676
  4. Step 4: Simplify right side
    270,215.04x = 37,554,665,463.36
  5. Step 5: Solve for x
    x = 37,554,665,463.36/270,215.04
  6. Step 6: Final answer
    x = 138,980.66

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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.