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Finding the Fourth Proportional to 60,165, 90,247.50 and 16,389

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Solution

The fourth proportional to 60,165, 90,247.50 and 16,389 is: 24,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,165 : 90,247.50 = 16,389 : x
  2. Step 2: Convert to fraction form
    60,165/90,247.50 = 16,389/x
  3. Step 3: Cross multiply
    60,165x = 90,247.50 × 16,389
  4. Step 4: Simplify right side
    60,165x = 1,479,066,277.50
  5. Step 5: Solve for x
    x = 1,479,066,277.50/60,165
  6. Step 6: Final answer
    x = 24,583.50

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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.