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Finding the Fourth Proportional to 72,940.96, 109,409.20 and 28,555.20

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Solution

The fourth proportional to 72,940.96, 109,409.20 and 28,555.20 is: 42,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,940.96 : 109,409.20 = 28,555.20 : x
  2. Step 2: Convert to fraction form
    72,940.96/109,409.20 = 28,555.20/x
  3. Step 3: Cross multiply
    72,940.96x = 109,409.20 × 28,555.20
  4. Step 4: Simplify right side
    72,940.96x = 3,124,201,587.84
  5. Step 5: Solve for x
    x = 3,124,201,587.84/72,940.96
  6. Step 6: Final answer
    x = 42,831.92

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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.