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Finding the Fourth Proportional to 172,992.60, 259,634.70 and 78,368.40

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Solution

The fourth proportional to 172,992.60, 259,634.70 and 78,368.40 is: 117,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,992.60 : 259,634.70 = 78,368.40 : x
  2. Step 2: Convert to fraction form
    172,992.60/259,634.70 = 78,368.40/x
  3. Step 3: Cross multiply
    172,992.60x = 259,634.70 × 78,368.40
  4. Step 4: Simplify right side
    172,992.60x = 20,347,156,023.48
  5. Step 5: Solve for x
    x = 20,347,156,023.48/172,992.60
  6. Step 6: Final answer
    x = 117,618.65

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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.