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Finding the Fourth Proportional to 129,903.81, 194,868.13 and 36,409.29

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Solution

The fourth proportional to 129,903.81, 194,868.13 and 36,409.29 is: 54,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,903.81 : 194,868.13 = 36,409.29 : x
  2. Step 2: Convert to fraction form
    129,903.81/194,868.13 = 36,409.29/x
  3. Step 3: Cross multiply
    129,903.81x = 194,868.13 × 36,409.29
  4. Step 4: Simplify right side
    129,903.81x = 7,095,010,256.93
  5. Step 5: Solve for x
    x = 7,095,010,256.93/129,903.81
  6. Step 6: Final answer
    x = 54,617.41

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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.