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Finding the Fourth Proportional to 211,145.60, 316,257.60 and 164,028.80

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Solution

The fourth proportional to 211,145.60, 316,257.60 and 164,028.80 is: 245,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,145.60 : 316,257.60 = 164,028.80 : x
  2. Step 2: Convert to fraction form
    211,145.60/316,257.60 = 164,028.80/x
  3. Step 3: Cross multiply
    211,145.60x = 316,257.60 × 164,028.80
  4. Step 4: Simplify right side
    211,145.60x = 51,875,354,618.88
  5. Step 5: Solve for x
    x = 51,875,354,618.88/211,145.60
  6. Step 6: Final answer
    x = 245,685.23

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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.