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Finding the Fourth Proportional to 48,609, 72,913.50 and 15,777

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Solution

The fourth proportional to 48,609, 72,913.50 and 15,777 is: 23,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,609 : 72,913.50 = 15,777 : x
  2. Step 2: Convert to fraction form
    48,609/72,913.50 = 15,777/x
  3. Step 3: Cross multiply
    48,609x = 72,913.50 × 15,777
  4. Step 4: Simplify right side
    48,609x = 1,150,356,289.50
  5. Step 5: Solve for x
    x = 1,150,356,289.50/48,609
  6. Step 6: Final answer
    x = 23,665.50

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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.