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Finding the Fourth Proportional to 97,436.64, 134,488.56 and 55,020

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Solution

The fourth proportional to 97,436.64, 134,488.56 and 55,020 is: 75,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,436.64 : 134,488.56 = 55,020 : x
  2. Step 2: Convert to fraction form
    97,436.64/134,488.56 = 55,020/x
  3. Step 3: Cross multiply
    97,436.64x = 134,488.56 × 55,020
  4. Step 4: Simplify right side
    97,436.64x = 7,399,560,571.20
  5. Step 5: Solve for x
    x = 7,399,560,571.20/97,436.64
  6. Step 6: Final answer
    x = 75,942.28

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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.