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Finding the Fourth Proportional to 40,902.24, 61,431.12 and 25,428

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Solution

The fourth proportional to 40,902.24, 61,431.12 and 25,428 is: 38,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,902.24 : 61,431.12 = 25,428 : x
  2. Step 2: Convert to fraction form
    40,902.24/61,431.12 = 25,428/x
  3. Step 3: Cross multiply
    40,902.24x = 61,431.12 × 25,428
  4. Step 4: Simplify right side
    40,902.24x = 1,562,070,519.36
  5. Step 5: Solve for x
    x = 1,562,070,519.36/40,902.24
  6. Step 6: Final answer
    x = 38,190.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.