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Finding the Fourth Proportional to 277,237.95, 415,872.05 and 87,684.16

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Solution

The fourth proportional to 277,237.95, 415,872.05 and 87,684.16 is: 131,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,237.95 : 415,872.05 = 87,684.16 : x
  2. Step 2: Convert to fraction form
    277,237.95/415,872.05 = 87,684.16/x
  3. Step 3: Cross multiply
    277,237.95x = 415,872.05 × 87,684.16
  4. Step 4: Simplify right side
    277,237.95x = 36,465,391,371.73
  5. Step 5: Solve for x
    x = 36,465,391,371.73/277,237.95
  6. Step 6: Final answer
    x = 131,531.02

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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.