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Finding the Fourth Proportional to 97,938, 135,155.52 and 53,226

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Solution

The fourth proportional to 97,938, 135,155.52 and 53,226 is: 73,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,938 : 135,155.52 = 53,226 : x
  2. Step 2: Convert to fraction form
    97,938/135,155.52 = 53,226/x
  3. Step 3: Cross multiply
    97,938x = 135,155.52 × 53,226
  4. Step 4: Simplify right side
    97,938x = 7,193,787,707.52
  5. Step 5: Solve for x
    x = 7,193,787,707.52/97,938
  6. Step 6: Final answer
    x = 73,452.47

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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.