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Finding the Fourth Proportional to 101,493.50, 152,254.80 and 31,378.28

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Solution

The fourth proportional to 101,493.50, 152,254.80 and 31,378.28 is: 47,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,493.50 : 152,254.80 = 31,378.28 : x
  2. Step 2: Convert to fraction form
    101,493.50/152,254.80 = 31,378.28/x
  3. Step 3: Cross multiply
    101,493.50x = 152,254.80 × 31,378.28
  4. Step 4: Simplify right side
    101,493.50x = 4,777,493,745.74
  5. Step 5: Solve for x
    x = 4,777,493,745.74/101,493.50
  6. Step 6: Final answer
    x = 47,071.92

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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.