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Finding the Fourth Proportional to 238,659.51, 357,970.53 and 138,756

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Solution

The fourth proportional to 238,659.51, 357,970.53 and 138,756 is: 208,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,659.51 : 357,970.53 = 138,756 : x
  2. Step 2: Convert to fraction form
    238,659.51/357,970.53 = 138,756/x
  3. Step 3: Cross multiply
    238,659.51x = 357,970.53 × 138,756
  4. Step 4: Simplify right side
    238,659.51x = 49,670,558,860.68
  5. Step 5: Solve for x
    x = 49,670,558,860.68/238,659.51
  6. Step 6: Final answer
    x = 208,123.11

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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.