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Finding the Fourth Proportional to 129,825.80, 194,349.90 and 77,208.20

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Solution

The fourth proportional to 129,825.80, 194,349.90 and 77,208.20 is: 115,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,825.80 : 194,349.90 = 77,208.20 : x
  2. Step 2: Convert to fraction form
    129,825.80/194,349.90 = 77,208.20/x
  3. Step 3: Cross multiply
    129,825.80x = 194,349.90 × 77,208.20
  4. Step 4: Simplify right side
    129,825.80x = 15,005,405,949.18
  5. Step 5: Solve for x
    x = 15,005,405,949.18/129,825.80
  6. Step 6: Final answer
    x = 115,581.08

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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.