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Finding the Fourth Proportional to 277,102.13, 415,403.03 and 99,567.60

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Solution

The fourth proportional to 277,102.13, 415,403.03 and 99,567.60 is: 149,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,102.13 : 415,403.03 = 99,567.60 : x
  2. Step 2: Convert to fraction form
    277,102.13/415,403.03 = 99,567.60/x
  3. Step 3: Cross multiply
    277,102.13x = 415,403.03 × 99,567.60
  4. Step 4: Simplify right side
    277,102.13x = 41,360,682,231.99
  5. Step 5: Solve for x
    x = 41,360,682,231.99/277,102.13
  6. Step 6: Final answer
    x = 149,261.51

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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.