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Finding the Fourth Proportional to 105,493.01, 158,239.51 and 31,621.01

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Solution

The fourth proportional to 105,493.01, 158,239.51 and 31,621.01 is: 47,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,493.01 : 158,239.51 = 31,621.01 : x
  2. Step 2: Convert to fraction form
    105,493.01/158,239.51 = 31,621.01/x
  3. Step 3: Cross multiply
    105,493.01x = 158,239.51 × 31,621.01
  4. Step 4: Simplify right side
    105,493.01x = 5,003,692,836.30
  5. Step 5: Solve for x
    x = 5,003,692,836.30/105,493.01
  6. Step 6: Final answer
    x = 47,431.51

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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.