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Finding the Fourth Proportional to 53,162.40, 79,743.70 and 49,914.70

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Solution

The fourth proportional to 53,162.40, 79,743.70 and 49,914.70 is: 74,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,162.40 : 79,743.70 = 49,914.70 : x
  2. Step 2: Convert to fraction form
    53,162.40/79,743.70 = 49,914.70/x
  3. Step 3: Cross multiply
    53,162.40x = 79,743.70 × 49,914.70
  4. Step 4: Simplify right side
    53,162.40x = 3,980,382,862.39
  5. Step 5: Solve for x
    x = 3,980,382,862.39/53,162.40
  6. Step 6: Final answer
    x = 74,872.14

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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.