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Finding the Fourth Proportional to 129,916, 194,870.64 and 35,155.36

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Solution

The fourth proportional to 129,916, 194,870.64 and 35,155.36 is: 52,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,916 : 194,870.64 = 35,155.36 : x
  2. Step 2: Convert to fraction form
    129,916/194,870.64 = 35,155.36/x
  3. Step 3: Cross multiply
    129,916x = 194,870.64 × 35,155.36
  4. Step 4: Simplify right side
    129,916x = 6,850,747,502.63
  5. Step 5: Solve for x
    x = 6,850,747,502.63/129,916
  6. Step 6: Final answer
    x = 52,732.13

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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.