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Finding the Fourth Proportional to 238,507.96, 329,069.14 and 142,979.80

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Solution

The fourth proportional to 238,507.96, 329,069.14 and 142,979.80 is: 197,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,507.96 : 329,069.14 = 142,979.80 : x
  2. Step 2: Convert to fraction form
    238,507.96/329,069.14 = 142,979.80/x
  3. Step 3: Cross multiply
    238,507.96x = 329,069.14 × 142,979.80
  4. Step 4: Simplify right side
    238,507.96x = 47,050,239,823.37
  5. Step 5: Solve for x
    x = 47,050,239,823.37/238,507.96
  6. Step 6: Final answer
    x = 197,269.05

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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.