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Finding the Fourth Proportional to 176,640.84, 264,961.26 and 102,717

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Solution

The fourth proportional to 176,640.84, 264,961.26 and 102,717 is: 154,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,640.84 : 264,961.26 = 102,717 : x
  2. Step 2: Convert to fraction form
    176,640.84/264,961.26 = 102,717/x
  3. Step 3: Cross multiply
    176,640.84x = 264,961.26 × 102,717
  4. Step 4: Simplify right side
    176,640.84x = 27,216,025,743.42
  5. Step 5: Solve for x
    x = 27,216,025,743.42/176,640.84
  6. Step 6: Final answer
    x = 154,075.50

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1.5x scale

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.