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Finding the Fourth Proportional to 53,138, 79,741.56 and 20,306

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Solution

The fourth proportional to 53,138, 79,741.56 and 20,306 is: 30,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,138 : 79,741.56 = 20,306 : x
  2. Step 2: Convert to fraction form
    53,138/79,741.56 = 20,306/x
  3. Step 3: Cross multiply
    53,138x = 79,741.56 × 20,306
  4. Step 4: Simplify right side
    53,138x = 1,619,232,117.36
  5. Step 5: Solve for x
    x = 1,619,232,117.36/53,138
  6. Step 6: Final answer
    x = 30,472.21

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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.