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Finding the Fourth Proportional to 177,456, 266,052.78 and 107,319.72

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Solution

The fourth proportional to 177,456, 266,052.78 and 107,319.72 is: 160,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,456 : 266,052.78 = 107,319.72 : x
  2. Step 2: Convert to fraction form
    177,456/266,052.78 = 107,319.72/x
  3. Step 3: Cross multiply
    177,456x = 266,052.78 × 107,319.72
  4. Step 4: Simplify right side
    177,456x = 28,552,709,854.82
  5. Step 5: Solve for x
    x = 28,552,709,854.82/177,456
  6. Step 6: Final answer
    x = 160,900.22

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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.