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Finding the Fourth Proportional to 218,085.40, 327,225.30 and 99,695.80

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Solution

The fourth proportional to 218,085.40, 327,225.30 and 99,695.80 is: 149,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,085.40 : 327,225.30 = 99,695.80 : x
  2. Step 2: Convert to fraction form
    218,085.40/327,225.30 = 99,695.80/x
  3. Step 3: Cross multiply
    218,085.40x = 327,225.30 × 99,695.80
  4. Step 4: Simplify right side
    218,085.40x = 32,622,988,063.74
  5. Step 5: Solve for x
    x = 32,622,988,063.74/218,085.40
  6. Step 6: Final answer
    x = 149,588.13

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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.