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Finding the Fourth Proportional to 85,309.99, 127,964.89 and 37,914.06

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Solution

The fourth proportional to 85,309.99, 127,964.89 and 37,914.06 is: 56,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,309.99 : 127,964.89 = 37,914.06 : x
  2. Step 2: Convert to fraction form
    85,309.99/127,964.89 = 37,914.06/x
  3. Step 3: Cross multiply
    85,309.99x = 127,964.89 × 37,914.06
  4. Step 4: Simplify right side
    85,309.99x = 4,851,668,517.35
  5. Step 5: Solve for x
    x = 4,851,668,517.35/85,309.99
  6. Step 6: Final answer
    x = 56,871.05

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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.