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Finding the Fourth Proportional to 80,599.61, 120,915.02 and 30,675.87

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Solution

The fourth proportional to 80,599.61, 120,915.02 and 30,675.87 is: 46,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,599.61 : 120,915.02 = 30,675.87 : x
  2. Step 2: Convert to fraction form
    80,599.61/120,915.02 = 30,675.87/x
  3. Step 3: Cross multiply
    80,599.61x = 120,915.02 × 30,675.87
  4. Step 4: Simplify right side
    80,599.61x = 3,709,173,281.19
  5. Step 5: Solve for x
    x = 3,709,173,281.19/80,599.61
  6. Step 6: Final answer
    x = 46,019.75

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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.