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Finding the Fourth Proportional to 103,677.72, 155,511.12 and 51,069.44

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Solution

The fourth proportional to 103,677.72, 155,511.12 and 51,069.44 is: 76,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,677.72 : 155,511.12 = 51,069.44 : x
  2. Step 2: Convert to fraction form
    103,677.72/155,511.12 = 51,069.44/x
  3. Step 3: Cross multiply
    103,677.72x = 155,511.12 × 51,069.44
  4. Step 4: Simplify right side
    103,677.72x = 7,941,865,812.17
  5. Step 5: Solve for x
    x = 7,941,865,812.17/103,677.72
  6. Step 6: Final answer
    x = 76,601.47

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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.