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Finding the Fourth Proportional to 302,141.64, 453,212.47 and 142,118.09

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Solution

The fourth proportional to 302,141.64, 453,212.47 and 142,118.09 is: 213,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,141.64 : 453,212.47 = 142,118.09 : x
  2. Step 2: Convert to fraction form
    302,141.64/453,212.47 = 142,118.09/x
  3. Step 3: Cross multiply
    302,141.64x = 453,212.47 × 142,118.09
  4. Step 4: Simplify right side
    302,141.64x = 64,409,691,961.62
  5. Step 5: Solve for x
    x = 64,409,691,961.62/302,141.64
  6. Step 6: Final answer
    x = 213,177.14

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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.