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Finding the Fourth Proportional to 185,147.76, 277,664.10 and 66,803.70

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Solution

The fourth proportional to 185,147.76, 277,664.10 and 66,803.70 is: 100,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,147.76 : 277,664.10 = 66,803.70 : x
  2. Step 2: Convert to fraction form
    185,147.76/277,664.10 = 66,803.70/x
  3. Step 3: Cross multiply
    185,147.76x = 277,664.10 × 66,803.70
  4. Step 4: Simplify right side
    185,147.76x = 18,548,989,237.17
  5. Step 5: Solve for x
    x = 18,548,989,237.17/185,147.76
  6. Step 6: Final answer
    x = 100,184.79

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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.