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Finding the Fourth Proportional to 142,175.88, 196,202.79 and 77,646

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Solution

The fourth proportional to 142,175.88, 196,202.79 and 77,646 is: 107,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,175.88 : 196,202.79 = 77,646 : x
  2. Step 2: Convert to fraction form
    142,175.88/196,202.79 = 77,646/x
  3. Step 3: Cross multiply
    142,175.88x = 196,202.79 × 77,646
  4. Step 4: Simplify right side
    142,175.88x = 15,234,361,832.34
  5. Step 5: Solve for x
    x = 15,234,361,832.34/142,175.88
  6. Step 6: Final answer
    x = 107,151.52

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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.