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Finding the Fourth Proportional to 75,101.78, 112,665.10 and 35,637.36

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Solution

The fourth proportional to 75,101.78, 112,665.10 and 35,637.36 is: 53,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,101.78 : 112,665.10 = 35,637.36 : x
  2. Step 2: Convert to fraction form
    75,101.78/112,665.10 = 35,637.36/x
  3. Step 3: Cross multiply
    75,101.78x = 112,665.10 × 35,637.36
  4. Step 4: Simplify right side
    75,101.78x = 4,015,086,728.14
  5. Step 5: Solve for x
    x = 4,015,086,728.14/75,101.78
  6. Step 6: Final answer
    x = 53,461.94

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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.