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Finding the Fourth Proportional to 252,076.88, 378,272.96 and 102,317.12

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Solution

The fourth proportional to 252,076.88, 378,272.96 and 102,317.12 is: 153,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,076.88 : 378,272.96 = 102,317.12 : x
  2. Step 2: Convert to fraction form
    252,076.88/378,272.96 = 102,317.12/x
  3. Step 3: Cross multiply
    252,076.88x = 378,272.96 × 102,317.12
  4. Step 4: Simplify right side
    252,076.88x = 38,703,799,841.08
  5. Step 5: Solve for x
    x = 38,703,799,841.08/252,076.88
  6. Step 6: Final answer
    x = 153,539.67

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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.