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Finding the Fourth Proportional to 78,681.64, 117,996.90 and 26,077

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Solution

The fourth proportional to 78,681.64, 117,996.90 and 26,077 is: 39,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,681.64 : 117,996.90 = 26,077 : x
  2. Step 2: Convert to fraction form
    78,681.64/117,996.90 = 26,077/x
  3. Step 3: Cross multiply
    78,681.64x = 117,996.90 × 26,077
  4. Step 4: Simplify right side
    78,681.64x = 3,077,005,161.30
  5. Step 5: Solve for x
    x = 3,077,005,161.30/78,681.64
  6. Step 6: Final answer
    x = 39,107.03

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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.