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Finding the Fourth Proportional to 129,066, 193,606.29 and 45,960

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Solution

The fourth proportional to 129,066, 193,606.29 and 45,960 is: 68,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,066 : 193,606.29 = 45,960 : x
  2. Step 2: Convert to fraction form
    129,066/193,606.29 = 45,960/x
  3. Step 3: Cross multiply
    129,066x = 193,606.29 × 45,960
  4. Step 4: Simplify right side
    129,066x = 8,898,145,088.40
  5. Step 5: Solve for x
    x = 8,898,145,088.40/129,066
  6. Step 6: Final answer
    x = 68,942.60

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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.