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Finding the Fourth Proportional to 75,985.92, 104,851.20 and 42,451.20

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Solution

The fourth proportional to 75,985.92, 104,851.20 and 42,451.20 is: 58,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,985.92 : 104,851.20 = 42,451.20 : x
  2. Step 2: Convert to fraction form
    75,985.92/104,851.20 = 42,451.20/x
  3. Step 3: Cross multiply
    75,985.92x = 104,851.20 × 42,451.20
  4. Step 4: Simplify right side
    75,985.92x = 4,451,059,261.44
  5. Step 5: Solve for x
    x = 4,451,059,261.44/75,985.92
  6. Step 6: Final answer
    x = 58,577.42

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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.