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Finding the Fourth Proportional to 277,043.95, 415,566.03 and 66,681.88

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Solution

The fourth proportional to 277,043.95, 415,566.03 and 66,681.88 is: 100,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,043.95 : 415,566.03 = 66,681.88 : x
  2. Step 2: Convert to fraction form
    277,043.95/415,566.03 = 66,681.88/x
  3. Step 3: Cross multiply
    277,043.95x = 415,566.03 × 66,681.88
  4. Step 4: Simplify right side
    277,043.95x = 27,710,724,144.54
  5. Step 5: Solve for x
    x = 27,710,724,144.54/277,043.95
  6. Step 6: Final answer
    x = 100,022.85

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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.