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Finding the Fourth Proportional to 149,762, 206,671.56 and 96,770

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Solution

The fourth proportional to 149,762, 206,671.56 and 96,770 is: 133,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,762 : 206,671.56 = 96,770 : x
  2. Step 2: Convert to fraction form
    149,762/206,671.56 = 96,770/x
  3. Step 3: Cross multiply
    149,762x = 206,671.56 × 96,770
  4. Step 4: Simplify right side
    149,762x = 19,999,606,861.20
  5. Step 5: Solve for x
    x = 19,999,606,861.20/149,762
  6. Step 6: Final answer
    x = 133,542.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.