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Finding the Fourth Proportional to 188,992.86, 283,499.64 and 76,656.40

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Solution

The fourth proportional to 188,992.86, 283,499.64 and 76,656.40 is: 114,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,992.86 : 283,499.64 = 76,656.40 : x
  2. Step 2: Convert to fraction form
    188,992.86/283,499.64 = 76,656.40/x
  3. Step 3: Cross multiply
    188,992.86x = 283,499.64 × 76,656.40
  4. Step 4: Simplify right side
    188,992.86x = 21,732,061,803.70
  5. Step 5: Solve for x
    x = 21,732,061,803.70/188,992.86
  6. Step 6: Final answer
    x = 114,988.80

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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.