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Finding the Fourth Proportional to 277,009.12, 415,513.68 and 66,647.06

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Solution

The fourth proportional to 277,009.12, 415,513.68 and 66,647.06 is: 99,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,009.12 : 415,513.68 = 66,647.06 : x
  2. Step 2: Convert to fraction form
    277,009.12/415,513.68 = 66,647.06/x
  3. Step 3: Cross multiply
    277,009.12x = 415,513.68 × 66,647.06
  4. Step 4: Simplify right side
    277,009.12x = 27,692,765,161.78
  5. Step 5: Solve for x
    x = 27,692,765,161.78/277,009.12
  6. Step 6: Final answer
    x = 99,970.59

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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.