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Finding the Fourth Proportional to 177,385.67, 265,937.22 and 102,420.78

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Solution

The fourth proportional to 177,385.67, 265,937.22 and 102,420.78 is: 153,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,385.67 : 265,937.22 = 102,420.78 : x
  2. Step 2: Convert to fraction form
    177,385.67/265,937.22 = 102,420.78/x
  3. Step 3: Cross multiply
    177,385.67x = 265,937.22 × 102,420.78
  4. Step 4: Simplify right side
    177,385.67x = 27,237,497,503.43
  5. Step 5: Solve for x
    x = 27,237,497,503.43/177,385.67
  6. Step 6: Final answer
    x = 153,549.59

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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.