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Finding the Fourth Proportional to 191,456.97, 264,216.69 and 105,424.98

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Solution

The fourth proportional to 191,456.97, 264,216.69 and 105,424.98 is: 145,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,456.97 : 264,216.69 = 105,424.98 : x
  2. Step 2: Convert to fraction form
    191,456.97/264,216.69 = 105,424.98/x
  3. Step 3: Cross multiply
    191,456.97x = 264,216.69 × 105,424.98
  4. Step 4: Simplify right side
    191,456.97x = 27,855,039,258.92
  5. Step 5: Solve for x
    x = 27,855,039,258.92/191,456.97
  6. Step 6: Final answer
    x = 145,489.82

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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.