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Finding the Fourth Proportional to 72,742.87, 100,384.50 and 40,911.07

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Solution

The fourth proportional to 72,742.87, 100,384.50 and 40,911.07 is: 56,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,742.87 : 100,384.50 = 40,911.07 : x
  2. Step 2: Convert to fraction form
    72,742.87/100,384.50 = 40,911.07/x
  3. Step 3: Cross multiply
    72,742.87x = 100,384.50 × 40,911.07
  4. Step 4: Simplify right side
    72,742.87x = 4,106,837,306.42
  5. Step 5: Solve for x
    x = 4,106,837,306.42/72,742.87
  6. Step 6: Final answer
    x = 56,456.91

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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.