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Finding the Fourth Proportional to 200,984.68, 277,407.78 and 120,459.88

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Solution

The fourth proportional to 200,984.68, 277,407.78 and 120,459.88 is: 166,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,984.68 : 277,407.78 = 120,459.88 : x
  2. Step 2: Convert to fraction form
    200,984.68/277,407.78 = 120,459.88/x
  3. Step 3: Cross multiply
    200,984.68x = 277,407.78 × 120,459.88
  4. Step 4: Simplify right side
    200,984.68x = 33,416,507,889.87
  5. Step 5: Solve for x
    x = 33,416,507,889.87/200,984.68
  6. Step 6: Final answer
    x = 166,263.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.