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Finding the Fourth Proportional to 197,157, 272,083.38 and 107,738.76

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Solution

The fourth proportional to 197,157, 272,083.38 and 107,738.76 is: 148,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,157 : 272,083.38 = 107,738.76 : x
  2. Step 2: Convert to fraction form
    197,157/272,083.38 = 107,738.76/x
  3. Step 3: Cross multiply
    197,157x = 272,083.38 × 107,738.76
  4. Step 4: Simplify right side
    197,157x = 29,313,925,977.81
  5. Step 5: Solve for x
    x = 29,313,925,977.81/197,157
  6. Step 6: Final answer
    x = 148,683.16

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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.