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Finding the Fourth Proportional to 129,823.40, 194,713.02 and 36,307.40

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Solution

The fourth proportional to 129,823.40, 194,713.02 and 36,307.40 is: 54,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,823.40 : 194,713.02 = 36,307.40 : x
  2. Step 2: Convert to fraction form
    129,823.40/194,713.02 = 36,307.40/x
  3. Step 3: Cross multiply
    129,823.40x = 194,713.02 × 36,307.40
  4. Step 4: Simplify right side
    129,823.40x = 7,069,523,502.35
  5. Step 5: Solve for x
    x = 7,069,523,502.35/129,823.40
  6. Step 6: Final answer
    x = 54,454.92

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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.