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Finding the Fourth Proportional to 277,088.82, 415,633.32 and 66,726.75

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Solution

The fourth proportional to 277,088.82, 415,633.32 and 66,726.75 is: 100,090.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,088.82 : 415,633.32 = 66,726.75 : x
  2. Step 2: Convert to fraction form
    277,088.82/415,633.32 = 66,726.75/x
  3. Step 3: Cross multiply
    277,088.82x = 415,633.32 × 66,726.75
  4. Step 4: Simplify right side
    277,088.82x = 27,733,860,635.31
  5. Step 5: Solve for x
    x = 27,733,860,635.31/277,088.82
  6. Step 6: Final answer
    x = 100,090.15

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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.