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Finding the Fourth Proportional to 129,829.36, 194,742.01 and 66,613

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Solution

The fourth proportional to 129,829.36, 194,742.01 and 66,613 is: 99,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,829.36 : 194,742.01 = 66,613 : x
  2. Step 2: Convert to fraction form
    129,829.36/194,742.01 = 66,613/x
  3. Step 3: Cross multiply
    129,829.36x = 194,742.01 × 66,613
  4. Step 4: Simplify right side
    129,829.36x = 12,972,349,512.13
  5. Step 5: Solve for x
    x = 12,972,349,512.13/129,829.36
  6. Step 6: Final answer
    x = 99,918.46

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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.