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Finding the Fourth Proportional to 72,478, 100,009.76 and 40,644.96

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Solution

The fourth proportional to 72,478, 100,009.76 and 40,644.96 is: 56,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,478 : 100,009.76 = 40,644.96 : x
  2. Step 2: Convert to fraction form
    72,478/100,009.76 = 40,644.96/x
  3. Step 3: Cross multiply
    72,478x = 100,009.76 × 40,644.96
  4. Step 4: Simplify right side
    72,478x = 4,064,892,694.81
  5. Step 5: Solve for x
    x = 4,064,892,694.81/72,478
  6. Step 6: Final answer
    x = 56,084.50

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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.