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Finding the Fourth Proportional to 216,896.64, 299,504.16 and 136,458.24

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Solution

The fourth proportional to 216,896.64, 299,504.16 and 136,458.24 is: 188,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,896.64 : 299,504.16 = 136,458.24 : x
  2. Step 2: Convert to fraction form
    216,896.64/299,504.16 = 136,458.24/x
  3. Step 3: Cross multiply
    216,896.64x = 299,504.16 × 136,458.24
  4. Step 4: Simplify right side
    216,896.64x = 40,869,810,546.28
  5. Step 5: Solve for x
    x = 40,869,810,546.28/216,896.64
  6. Step 6: Final answer
    x = 188,429.89

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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.