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Finding the Fourth Proportional to 200,695.65, 301,005.15 and 100,828.11

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Solution

The fourth proportional to 200,695.65, 301,005.15 and 100,828.11 is: 151,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,695.65 : 301,005.15 = 100,828.11 : x
  2. Step 2: Convert to fraction form
    200,695.65/301,005.15 = 100,828.11/x
  3. Step 3: Cross multiply
    200,695.65x = 301,005.15 × 100,828.11
  4. Step 4: Simplify right side
    200,695.65x = 30,349,780,374.77
  5. Step 5: Solve for x
    x = 30,349,780,374.77/200,695.65
  6. Step 6: Final answer
    x = 151,222.91

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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.