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Finding the Fourth Proportional to 101,486.78, 152,249.30 and 31,349.69

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Solution

The fourth proportional to 101,486.78, 152,249.30 and 31,349.69 is: 47,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,486.78 : 152,249.30 = 31,349.69 : x
  2. Step 2: Convert to fraction form
    101,486.78/152,249.30 = 31,349.69/x
  3. Step 3: Cross multiply
    101,486.78x = 152,249.30 × 31,349.69
  4. Step 4: Simplify right side
    101,486.78x = 4,772,968,357.72
  5. Step 5: Solve for x
    x = 4,772,968,357.72/101,486.78
  6. Step 6: Final answer
    x = 47,030.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.