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Finding the Fourth Proportional to 200,903.64, 301,440 and 125,065.66

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Solution

The fourth proportional to 200,903.64, 301,440 and 125,065.66 is: 187,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,903.64 : 301,440 = 125,065.66 : x
  2. Step 2: Convert to fraction form
    200,903.64/301,440 = 125,065.66/x
  3. Step 3: Cross multiply
    200,903.64x = 301,440 × 125,065.66
  4. Step 4: Simplify right side
    200,903.64x = 37,699,792,550.40
  5. Step 5: Solve for x
    x = 37,699,792,550.40/200,903.64
  6. Step 6: Final answer
    x = 187,651.12

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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.