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Finding the Fourth Proportional to 216,857.50, 299,448.03 and 136,419.64

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Solution

The fourth proportional to 216,857.50, 299,448.03 and 136,419.64 is: 188,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,857.50 : 299,448.03 = 136,419.64 : x
  2. Step 2: Convert to fraction form
    216,857.50/299,448.03 = 136,419.64/x
  3. Step 3: Cross multiply
    216,857.50x = 299,448.03 × 136,419.64
  4. Step 4: Simplify right side
    216,857.50x = 40,850,592,451.31
  5. Step 5: Solve for x
    x = 40,850,592,451.31/216,857.50
  6. Step 6: Final answer
    x = 188,375.28

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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.