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Finding the Fourth Proportional to 277,021.81, 415,532.70 and 66,659.77

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Solution

The fourth proportional to 277,021.81, 415,532.70 and 66,659.77 is: 99,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,021.81 : 415,532.70 = 66,659.77 : x
  2. Step 2: Convert to fraction form
    277,021.81/415,532.70 = 66,659.77/x
  3. Step 3: Cross multiply
    277,021.81x = 415,532.70 × 66,659.77
  4. Step 4: Simplify right side
    277,021.81x = 27,699,314,209.48
  5. Step 5: Solve for x
    x = 27,699,314,209.48/277,021.81
  6. Step 6: Final answer
    x = 99,989.65

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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.