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Finding the Fourth Proportional to 74,509.60, 102,824.26 and 42,678.48

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Solution

The fourth proportional to 74,509.60, 102,824.26 and 42,678.48 is: 58,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,509.60 : 102,824.26 = 42,678.48 : x
  2. Step 2: Convert to fraction form
    74,509.60/102,824.26 = 42,678.48/x
  3. Step 3: Cross multiply
    74,509.60x = 102,824.26 × 42,678.48
  4. Step 4: Simplify right side
    74,509.60x = 4,388,383,123.92
  5. Step 5: Solve for x
    x = 4,388,383,123.92/74,509.60
  6. Step 6: Final answer
    x = 58,896.88

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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.