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Finding the Fourth Proportional to 238,544.96, 357,861.78 and 78,632.12

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Solution

The fourth proportional to 238,544.96, 357,861.78 and 78,632.12 is: 117,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,544.96 : 357,861.78 = 78,632.12 : x
  2. Step 2: Convert to fraction form
    238,544.96/357,861.78 = 78,632.12/x
  3. Step 3: Cross multiply
    238,544.96x = 357,861.78 × 78,632.12
  4. Step 4: Simplify right side
    238,544.96x = 28,139,431,323.03
  5. Step 5: Solve for x
    x = 28,139,431,323.03/238,544.96
  6. Step 6: Final answer
    x = 117,962.80

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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.