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Finding the Fourth Proportional to 72,084.74, 107,914.19 and 53,239.64

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Solution

The fourth proportional to 72,084.74, 107,914.19 and 53,239.64 is: 79,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,084.74 : 107,914.19 = 53,239.64 : x
  2. Step 2: Convert to fraction form
    72,084.74/107,914.19 = 53,239.64/x
  3. Step 3: Cross multiply
    72,084.74x = 107,914.19 × 53,239.64
  4. Step 4: Simplify right side
    72,084.74x = 5,745,311,820.72
  5. Step 5: Solve for x
    x = 5,745,311,820.72/72,084.74
  6. Step 6: Final answer
    x = 79,702.20

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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.