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Finding the Fourth Proportional to 97,913.76, 135,121.80 and 53,201.76

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Solution

The fourth proportional to 97,913.76, 135,121.80 and 53,201.76 is: 73,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,913.76 : 135,121.80 = 53,201.76 : x
  2. Step 2: Convert to fraction form
    97,913.76/135,121.80 = 53,201.76/x
  3. Step 3: Cross multiply
    97,913.76x = 135,121.80 × 53,201.76
  4. Step 4: Simplify right side
    97,913.76x = 7,188,717,574.37
  5. Step 5: Solve for x
    x = 7,188,717,574.37/97,913.76
  6. Step 6: Final answer
    x = 73,418.87

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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.