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Finding the Fourth Proportional to 129,235.52, 194,008.80 and 76,980.80

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Solution

The fourth proportional to 129,235.52, 194,008.80 and 76,980.80 is: 115,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,235.52 : 194,008.80 = 76,980.80 : x
  2. Step 2: Convert to fraction form
    129,235.52/194,008.80 = 76,980.80/x
  3. Step 3: Cross multiply
    129,235.52x = 194,008.80 × 76,980.80
  4. Step 4: Simplify right side
    129,235.52x = 14,934,952,631.04
  5. Step 5: Solve for x
    x = 14,934,952,631.04/129,235.52
  6. Step 6: Final answer
    x = 115,563.84

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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.