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Finding the Fourth Proportional to 216,461.66, 298,523.75 and 135,896.76

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Solution

The fourth proportional to 216,461.66, 298,523.75 and 135,896.76 is: 187,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,461.66 : 298,523.75 = 135,896.76 : x
  2. Step 2: Convert to fraction form
    216,461.66/298,523.75 = 135,896.76/x
  3. Step 3: Cross multiply
    216,461.66x = 298,523.75 × 135,896.76
  4. Step 4: Simplify right side
    216,461.66x = 40,568,409,728.57
  5. Step 5: Solve for x
    x = 40,568,409,728.57/216,461.66
  6. Step 6: Final answer
    x = 187,416.15

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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.