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Finding the Fourth Proportional to 129,921.79, 194,893.62 and 45,674.77

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Solution

The fourth proportional to 129,921.79, 194,893.62 and 45,674.77 is: 68,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,921.79 : 194,893.62 = 45,674.77 : x
  2. Step 2: Convert to fraction form
    129,921.79/194,893.62 = 45,674.77/x
  3. Step 3: Cross multiply
    129,921.79x = 194,893.62 × 45,674.77
  4. Step 4: Simplify right side
    129,921.79x = 8,901,721,267.97
  5. Step 5: Solve for x
    x = 8,901,721,267.97/129,921.79
  6. Step 6: Final answer
    x = 68,516.00

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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.