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Finding the Fourth Proportional to 102,089.76, 153,090.72 and 39,745.68

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Solution

The fourth proportional to 102,089.76, 153,090.72 and 39,745.68 is: 59,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089.76 : 153,090.72 = 39,745.68 : x
  2. Step 2: Convert to fraction form
    102,089.76/153,090.72 = 39,745.68/x
  3. Step 3: Cross multiply
    102,089.76x = 153,090.72 × 39,745.68
  4. Step 4: Simplify right side
    102,089.76x = 6,084,694,768.09
  5. Step 5: Solve for x
    x = 6,084,694,768.09/102,089.76
  6. Step 6: Final answer
    x = 59,601.42

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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.