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Finding the Fourth Proportional to 75,258.14, 103,857.03 and 42,997.05

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Solution

The fourth proportional to 75,258.14, 103,857.03 and 42,997.05 is: 59,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,258.14 : 103,857.03 = 42,997.05 : x
  2. Step 2: Convert to fraction form
    75,258.14/103,857.03 = 42,997.05/x
  3. Step 3: Cross multiply
    75,258.14x = 103,857.03 × 42,997.05
  4. Step 4: Simplify right side
    75,258.14x = 4,465,545,911.76
  5. Step 5: Solve for x
    x = 4,465,545,911.76/75,258.14
  6. Step 6: Final answer
    x = 59,336.39

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