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Finding the Fourth Proportional to 200,501.72, 300,731.38 and 105,693.92

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Solution

The fourth proportional to 200,501.72, 300,731.38 and 105,693.92 is: 158,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,501.72 : 300,731.38 = 105,693.92 : x
  2. Step 2: Convert to fraction form
    200,501.72/300,731.38 = 105,693.92/x
  3. Step 3: Cross multiply
    200,501.72x = 300,731.38 × 105,693.92
  4. Step 4: Simplify right side
    200,501.72x = 31,785,476,651.32
  5. Step 5: Solve for x
    x = 31,785,476,651.32/200,501.72
  6. Step 6: Final answer
    x = 158,529.70

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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.