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Finding the Fourth Proportional to 78,676.04, 117,952.38 and 53,653.88

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Solution

The fourth proportional to 78,676.04, 117,952.38 and 53,653.88 is: 80,438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.04 : 117,952.38 = 53,653.88 : x
  2. Step 2: Convert to fraction form
    78,676.04/117,952.38 = 53,653.88/x
  3. Step 3: Cross multiply
    78,676.04x = 117,952.38 × 53,653.88
  4. Step 4: Simplify right side
    78,676.04x = 6,328,602,842.23
  5. Step 5: Solve for x
    x = 6,328,602,842.23/78,676.04
  6. Step 6: Final answer
    x = 80,438.76

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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.