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Finding the Fourth Proportional to 238,659.54, 357,970.50 and 138,756

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Solution

The fourth proportional to 238,659.54, 357,970.50 and 138,756 is: 208,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,659.54 : 357,970.50 = 138,756 : x
  2. Step 2: Convert to fraction form
    238,659.54/357,970.50 = 138,756/x
  3. Step 3: Cross multiply
    238,659.54x = 357,970.50 × 138,756
  4. Step 4: Simplify right side
    238,659.54x = 49,670,554,698
  5. Step 5: Solve for x
    x = 49,670,554,698/238,659.54
  6. Step 6: Final answer
    x = 208,123.06

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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.