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Finding the Fourth Proportional to 101,493.98, 152,255.54 and 31,378.76

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Solution

The fourth proportional to 101,493.98, 152,255.54 and 31,378.76 is: 47,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,493.98 : 152,255.54 = 31,378.76 : x
  2. Step 2: Convert to fraction form
    101,493.98/152,255.54 = 31,378.76/x
  3. Step 3: Cross multiply
    101,493.98x = 152,255.54 × 31,378.76
  4. Step 4: Simplify right side
    101,493.98x = 4,777,590,048.33
  5. Step 5: Solve for x
    x = 4,777,590,048.33/101,493.98
  6. Step 6: Final answer
    x = 47,072.64

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1.5x scale

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.