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Finding the Fourth Proportional to 72,814.71, 100,484.28 and 40,983.78

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Solution

The fourth proportional to 72,814.71, 100,484.28 and 40,983.78 is: 56,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,814.71 : 100,484.28 = 40,983.78 : x
  2. Step 2: Convert to fraction form
    72,814.71/100,484.28 = 40,983.78/x
  3. Step 3: Cross multiply
    72,814.71x = 100,484.28 × 40,983.78
  4. Step 4: Simplify right side
    72,814.71x = 4,118,225,624.98
  5. Step 5: Solve for x
    x = 4,118,225,624.98/72,814.71
  6. Step 6: Final answer
    x = 56,557.61

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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.