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Finding the Fourth Proportional to 77,804.40, 116,700.84 and 30,410.64

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Solution

The fourth proportional to 77,804.40, 116,700.84 and 30,410.64 is: 45,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,804.40 : 116,700.84 = 30,410.64 : x
  2. Step 2: Convert to fraction form
    77,804.40/116,700.84 = 30,410.64/x
  3. Step 3: Cross multiply
    77,804.40x = 116,700.84 × 30,410.64
  4. Step 4: Simplify right side
    77,804.40x = 3,548,947,232.94
  5. Step 5: Solve for x
    x = 3,548,947,232.94/77,804.40
  6. Step 6: Final answer
    x = 45,613.71

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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.