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Finding the Fourth Proportional to 70,403.78, 97,187.64 and 42,104

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Solution

The fourth proportional to 70,403.78, 97,187.64 and 42,104 is: 58,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,403.78 : 97,187.64 = 42,104 : x
  2. Step 2: Convert to fraction form
    70,403.78/97,187.64 = 42,104/x
  3. Step 3: Cross multiply
    70,403.78x = 97,187.64 × 42,104
  4. Step 4: Simplify right side
    70,403.78x = 4,091,988,394.56
  5. Step 5: Solve for x
    x = 4,091,988,394.56/70,403.78
  6. Step 6: Final answer
    x = 58,121.71

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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.