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Finding the Fourth Proportional to 89,321.64, 133,742.43 and 47,113.89

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Solution

The fourth proportional to 89,321.64, 133,742.43 and 47,113.89 is: 70,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,321.64 : 133,742.43 = 47,113.89 : x
  2. Step 2: Convert to fraction form
    89,321.64/133,742.43 = 47,113.89/x
  3. Step 3: Cross multiply
    89,321.64x = 133,742.43 × 47,113.89
  4. Step 4: Simplify right side
    89,321.64x = 6,301,126,135.35
  5. Step 5: Solve for x
    x = 6,301,126,135.35/89,321.64
  6. Step 6: Final answer
    x = 70,544.23

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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.