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Finding the Fourth Proportional to 72,704.36, 109,056.54 and 22,784.45

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Solution

The fourth proportional to 72,704.36, 109,056.54 and 22,784.45 is: 34,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,704.36 : 109,056.54 = 22,784.45 : x
  2. Step 2: Convert to fraction form
    72,704.36/109,056.54 = 22,784.45/x
  3. Step 3: Cross multiply
    72,704.36x = 109,056.54 × 22,784.45
  4. Step 4: Simplify right side
    72,704.36x = 2,484,792,737.52
  5. Step 5: Solve for x
    x = 2,484,792,737.52/72,704.36
  6. Step 6: Final answer
    x = 34,176.67

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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.