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Finding the Fourth Proportional to 98,364.40, 147,327.90 and 76,105.60

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Solution

The fourth proportional to 98,364.40, 147,327.90 and 76,105.60 is: 113,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,364.40 : 147,327.90 = 76,105.60 : x
  2. Step 2: Convert to fraction form
    98,364.40/147,327.90 = 76,105.60/x
  3. Step 3: Cross multiply
    98,364.40x = 147,327.90 × 76,105.60
  4. Step 4: Simplify right side
    98,364.40x = 11,212,478,226.24
  5. Step 5: Solve for x
    x = 11,212,478,226.24/98,364.40
  6. Step 6: Final answer
    x = 113,989.19

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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.