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Finding the Fourth Proportional to 197,137.50, 272,049.75 and 107,713.50

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Solution

The fourth proportional to 197,137.50, 272,049.75 and 107,713.50 is: 148,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,137.50 : 272,049.75 = 107,713.50 : x
  2. Step 2: Convert to fraction form
    197,137.50/272,049.75 = 107,713.50/x
  3. Step 3: Cross multiply
    197,137.50x = 272,049.75 × 107,713.50
  4. Step 4: Simplify right side
    197,137.50x = 29,303,430,746.63
  5. Step 5: Solve for x
    x = 29,303,430,746.63/197,137.50
  6. Step 6: Final answer
    x = 148,644.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.