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Finding the Fourth Proportional to 200,988.40, 301,045.20 and 121,964.80

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Solution

The fourth proportional to 200,988.40, 301,045.20 and 121,964.80 is: 182,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,988.40 : 301,045.20 = 121,964.80 : x
  2. Step 2: Convert to fraction form
    200,988.40/301,045.20 = 121,964.80/x
  3. Step 3: Cross multiply
    200,988.40x = 301,045.20 × 121,964.80
  4. Step 4: Simplify right side
    200,988.40x = 36,716,917,608.96
  5. Step 5: Solve for x
    x = 36,716,917,608.96/200,988.40
  6. Step 6: Final answer
    x = 182,681.77

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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.