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Finding the Fourth Proportional to 72,766.71, 100,423.80 and 40,937.94

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Solution

The fourth proportional to 72,766.71, 100,423.80 and 40,937.94 is: 56,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,766.71 : 100,423.80 = 40,937.94 : x
  2. Step 2: Convert to fraction form
    72,766.71/100,423.80 = 40,937.94/x
  3. Step 3: Cross multiply
    72,766.71x = 100,423.80 × 40,937.94
  4. Step 4: Simplify right side
    72,766.71x = 4,111,143,498.97
  5. Step 5: Solve for x
    x = 4,111,143,498.97/72,766.71
  6. Step 6: Final answer
    x = 56,497.59

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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.