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Finding the Fourth Proportional to 200,931.20, 301,051.20 and 106,020.80

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Solution

The fourth proportional to 200,931.20, 301,051.20 and 106,020.80 is: 158,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,931.20 : 301,051.20 = 106,020.80 : x
  2. Step 2: Convert to fraction form
    200,931.20/301,051.20 = 106,020.80/x
  3. Step 3: Cross multiply
    200,931.20x = 301,051.20 × 106,020.80
  4. Step 4: Simplify right side
    200,931.20x = 31,917,689,064.96
  5. Step 5: Solve for x
    x = 31,917,689,064.96/200,931.20
  6. Step 6: Final answer
    x = 158,848.85

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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.