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Finding the Fourth Proportional to 40,914, 61,371 and 16,307.28

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Solution

The fourth proportional to 40,914, 61,371 and 16,307.28 is: 24,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,914 : 61,371 = 16,307.28 : x
  2. Step 2: Convert to fraction form
    40,914/61,371 = 16,307.28/x
  3. Step 3: Cross multiply
    40,914x = 61,371 × 16,307.28
  4. Step 4: Simplify right side
    40,914x = 1,000,794,080.88
  5. Step 5: Solve for x
    x = 1,000,794,080.88/40,914
  6. Step 6: Final answer
    x = 24,460.92

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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.