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Finding the Fourth Proportional to 272,655.30, 409,040.55 and 83,100.10

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Solution

The fourth proportional to 272,655.30, 409,040.55 and 83,100.10 is: 124,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,655.30 : 409,040.55 = 83,100.10 : x
  2. Step 2: Convert to fraction form
    272,655.30/409,040.55 = 83,100.10/x
  3. Step 3: Cross multiply
    272,655.30x = 409,040.55 × 83,100.10
  4. Step 4: Simplify right side
    272,655.30x = 33,991,310,609.06
  5. Step 5: Solve for x
    x = 33,991,310,609.06/272,655.30
  6. Step 6: Final answer
    x = 124,667.71

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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.