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Finding the Fourth Proportional to 77,787, 116,697.78 and 28,539

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Solution

The fourth proportional to 77,787, 116,697.78 and 28,539 is: 42,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,787 : 116,697.78 = 28,539 : x
  2. Step 2: Convert to fraction form
    77,787/116,697.78 = 28,539/x
  3. Step 3: Cross multiply
    77,787x = 116,697.78 × 28,539
  4. Step 4: Simplify right side
    77,787x = 3,330,437,943.42
  5. Step 5: Solve for x
    x = 3,330,437,943.42/77,787
  6. Step 6: Final answer
    x = 42,814.84

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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.