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Finding the Fourth Proportional to 129,804.16, 194,634.84 and 58,643.20

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Solution

The fourth proportional to 129,804.16, 194,634.84 and 58,643.20 is: 87,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,804.16 : 194,634.84 = 58,643.20 : x
  2. Step 2: Convert to fraction form
    129,804.16/194,634.84 = 58,643.20/x
  3. Step 3: Cross multiply
    129,804.16x = 194,634.84 × 58,643.20
  4. Step 4: Simplify right side
    129,804.16x = 11,414,009,849.09
  5. Step 5: Solve for x
    x = 11,414,009,849.09/129,804.16
  6. Step 6: Final answer
    x = 87,932.54

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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.