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Finding the Fourth Proportional to 101,478.05, 152,199.25 and 31,357.97

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Solution

The fourth proportional to 101,478.05, 152,199.25 and 31,357.97 is: 47,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,478.05 : 152,199.25 = 31,357.97 : x
  2. Step 2: Convert to fraction form
    101,478.05/152,199.25 = 31,357.97/x
  3. Step 3: Cross multiply
    101,478.05x = 152,199.25 × 31,357.97
  4. Step 4: Simplify right side
    101,478.05x = 4,772,658,676.13
  5. Step 5: Solve for x
    x = 4,772,658,676.13/101,478.05
  6. Step 6: Final answer
    x = 47,031.44

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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.