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Finding the Fourth Proportional to 78,643.56, 117,866.85 and 61,937.64

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Solution

The fourth proportional to 78,643.56, 117,866.85 and 61,937.64 is: 92,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,643.56 : 117,866.85 = 61,937.64 : x
  2. Step 2: Convert to fraction form
    78,643.56/117,866.85 = 61,937.64/x
  3. Step 3: Cross multiply
    78,643.56x = 117,866.85 × 61,937.64
  4. Step 4: Simplify right side
    78,643.56x = 7,300,394,523.23
  5. Step 5: Solve for x
    x = 7,300,394,523.23/78,643.56
  6. Step 6: Final answer
    x = 92,828.89

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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.