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Finding the Fourth Proportional to 198,039.76, 297,137.44 and 87,154

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Solution

The fourth proportional to 198,039.76, 297,137.44 and 87,154 is: 130,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,039.76 : 297,137.44 = 87,154 : x
  2. Step 2: Convert to fraction form
    198,039.76/297,137.44 = 87,154/x
  3. Step 3: Cross multiply
    198,039.76x = 297,137.44 × 87,154
  4. Step 4: Simplify right side
    198,039.76x = 25,896,716,445.76
  5. Step 5: Solve for x
    x = 25,896,716,445.76/198,039.76
  6. Step 6: Final answer
    x = 130,765.24

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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.