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Finding the Fourth Proportional to 129,233.52, 194,005.80 and 76,978.80

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Solution

The fourth proportional to 129,233.52, 194,005.80 and 76,978.80 is: 115,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,233.52 : 194,005.80 = 76,978.80 : x
  2. Step 2: Convert to fraction form
    129,233.52/194,005.80 = 76,978.80/x
  3. Step 3: Cross multiply
    129,233.52x = 194,005.80 × 76,978.80
  4. Step 4: Simplify right side
    129,233.52x = 14,934,333,677.04
  5. Step 5: Solve for x
    x = 14,934,333,677.04/129,233.52
  6. Step 6: Final answer
    x = 115,560.84

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1.5x scale

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.