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Finding the Fourth Proportional to 72,812.88, 109,219.32 and 49,381.20

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Solution

The fourth proportional to 72,812.88, 109,219.32 and 49,381.20 is: 74,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,812.88 : 109,219.32 = 49,381.20 : x
  2. Step 2: Convert to fraction form
    72,812.88/109,219.32 = 49,381.20/x
  3. Step 3: Cross multiply
    72,812.88x = 109,219.32 × 49,381.20
  4. Step 4: Simplify right side
    72,812.88x = 5,393,381,084.78
  5. Step 5: Solve for x
    x = 5,393,381,084.78/72,812.88
  6. Step 6: Final answer
    x = 74,071.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.