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Finding the Fourth Proportional to 78,570.42, 117,874.08 and 25,979.88

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Solution

The fourth proportional to 78,570.42, 117,874.08 and 25,979.88 is: 38,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,570.42 : 117,874.08 = 25,979.88 : x
  2. Step 2: Convert to fraction form
    78,570.42/117,874.08 = 25,979.88/x
  3. Step 3: Cross multiply
    78,570.42x = 117,874.08 × 25,979.88
  4. Step 4: Simplify right side
    78,570.42x = 3,062,354,453.51
  5. Step 5: Solve for x
    x = 3,062,354,453.51/78,570.42
  6. Step 6: Final answer
    x = 38,975.92

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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.