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Finding the Fourth Proportional to 70,286.74, 96,992.85 and 42,008.02

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Solution

The fourth proportional to 70,286.74, 96,992.85 and 42,008.02 is: 57,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,286.74 : 96,992.85 = 42,008.02 : x
  2. Step 2: Convert to fraction form
    70,286.74/96,992.85 = 42,008.02/x
  3. Step 3: Cross multiply
    70,286.74x = 96,992.85 × 42,008.02
  4. Step 4: Simplify right side
    70,286.74x = 4,074,477,582.66
  5. Step 5: Solve for x
    x = 4,074,477,582.66/70,286.74
  6. Step 6: Final answer
    x = 57,969.36

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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.