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Finding the Fourth Proportional to 238,420.20, 357,630.30 and 105,231.90

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Solution

The fourth proportional to 238,420.20, 357,630.30 and 105,231.90 is: 157,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,420.20 : 357,630.30 = 105,231.90 : x
  2. Step 2: Convert to fraction form
    238,420.20/357,630.30 = 105,231.90/x
  3. Step 3: Cross multiply
    238,420.20x = 357,630.30 × 105,231.90
  4. Step 4: Simplify right side
    238,420.20x = 37,634,115,966.57
  5. Step 5: Solve for x
    x = 37,634,115,966.57/238,420.20
  6. Step 6: Final answer
    x = 157,847.85

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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.