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Finding the Fourth Proportional to 78,156.64, 117,235.23 and 18,992.08

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Solution

The fourth proportional to 78,156.64, 117,235.23 and 18,992.08 is: 28,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,156.64 : 117,235.23 = 18,992.08 : x
  2. Step 2: Convert to fraction form
    78,156.64/117,235.23 = 18,992.08/x
  3. Step 3: Cross multiply
    78,156.64x = 117,235.23 × 18,992.08
  4. Step 4: Simplify right side
    78,156.64x = 2,226,540,866.98
  5. Step 5: Solve for x
    x = 2,226,540,866.98/78,156.64
  6. Step 6: Final answer
    x = 28,488.19

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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.