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Finding the Fourth Proportional to 177,427.76, 266,063.88 and 66,542

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Solution

The fourth proportional to 177,427.76, 266,063.88 and 66,542 is: 99,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,427.76 : 266,063.88 = 66,542 : x
  2. Step 2: Convert to fraction form
    177,427.76/266,063.88 = 66,542/x
  3. Step 3: Cross multiply
    177,427.76x = 266,063.88 × 66,542
  4. Step 4: Simplify right side
    177,427.76x = 17,704,422,702.96
  5. Step 5: Solve for x
    x = 17,704,422,702.96/177,427.76
  6. Step 6: Final answer
    x = 99,783.84

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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.