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Finding the Fourth Proportional to 72,786.54, 100,441.58 and 40,957.50

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Solution

The fourth proportional to 72,786.54, 100,441.58 and 40,957.50 is: 56,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,786.54 : 100,441.58 = 40,957.50 : x
  2. Step 2: Convert to fraction form
    72,786.54/100,441.58 = 40,957.50/x
  3. Step 3: Cross multiply
    72,786.54x = 100,441.58 × 40,957.50
  4. Step 4: Simplify right side
    72,786.54x = 4,113,835,808.06
  5. Step 5: Solve for x
    x = 4,113,835,808.06/72,786.54
  6. Step 6: Final answer
    x = 56,519.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.