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Finding the Fourth Proportional to 197,376, 272,382.72 and 107,953.92

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Solution

The fourth proportional to 197,376, 272,382.72 and 107,953.92 is: 148,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,376 : 272,382.72 = 107,953.92 : x
  2. Step 2: Convert to fraction form
    197,376/272,382.72 = 107,953.92/x
  3. Step 3: Cross multiply
    197,376x = 272,382.72 × 107,953.92
  4. Step 4: Simplify right side
    197,376x = 29,404,782,364.26
  5. Step 5: Solve for x
    x = 29,404,782,364.26/197,376
  6. Step 6: Final answer
    x = 148,978.51

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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.