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Finding the Fourth Proportional to 238,653.51, 357,961.53 and 138,750

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Solution

The fourth proportional to 238,653.51, 357,961.53 and 138,750 is: 208,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,653.51 : 357,961.53 = 138,750 : x
  2. Step 2: Convert to fraction form
    238,653.51/357,961.53 = 138,750/x
  3. Step 3: Cross multiply
    238,653.51x = 357,961.53 × 138,750
  4. Step 4: Simplify right side
    238,653.51x = 49,667,162,287.50
  5. Step 5: Solve for x
    x = 49,667,162,287.50/238,653.51
  6. Step 6: Final answer
    x = 208,114.11

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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.