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Finding the Fourth Proportional to 97,809.78, 134,969.85 and 57,525.06

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Solution

The fourth proportional to 97,809.78, 134,969.85 and 57,525.06 is: 79,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,809.78 : 134,969.85 = 57,525.06 : x
  2. Step 2: Convert to fraction form
    97,809.78/134,969.85 = 57,525.06/x
  3. Step 3: Cross multiply
    97,809.78x = 134,969.85 × 57,525.06
  4. Step 4: Simplify right side
    97,809.78x = 7,764,148,719.44
  5. Step 5: Solve for x
    x = 7,764,148,719.44/97,809.78
  6. Step 6: Final answer
    x = 79,380.09

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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.