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Finding the Fourth Proportional to 129,877.71, 194,823.90 and 36,390.75

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Solution

The fourth proportional to 129,877.71, 194,823.90 and 36,390.75 is: 54,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,877.71 : 194,823.90 = 36,390.75 : x
  2. Step 2: Convert to fraction form
    129,877.71/194,823.90 = 36,390.75/x
  3. Step 3: Cross multiply
    129,877.71x = 194,823.90 × 36,390.75
  4. Step 4: Simplify right side
    129,877.71x = 7,089,787,838.93
  5. Step 5: Solve for x
    x = 7,089,787,838.93/129,877.71
  6. Step 6: Final answer
    x = 54,588.18

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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.