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Finding the Fourth Proportional to 194,412.80, 291,926.40 and 142,188.80

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Solution

The fourth proportional to 194,412.80, 291,926.40 and 142,188.80 is: 213,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,412.80 : 291,926.40 = 142,188.80 : x
  2. Step 2: Convert to fraction form
    194,412.80/291,926.40 = 142,188.80/x
  3. Step 3: Cross multiply
    194,412.80x = 291,926.40 × 142,188.80
  4. Step 4: Simplify right side
    194,412.80x = 41,508,664,504.32
  5. Step 5: Solve for x
    x = 41,508,664,504.32/194,412.80
  6. Step 6: Final answer
    x = 213,507.88

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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.