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Finding the Fourth Proportional to 64,958.40, 97,221.60 and 47,138.40

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Solution

The fourth proportional to 64,958.40, 97,221.60 and 47,138.40 is: 70,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,958.40 : 97,221.60 = 47,138.40 : x
  2. Step 2: Convert to fraction form
    64,958.40/97,221.60 = 47,138.40/x
  3. Step 3: Cross multiply
    64,958.40x = 97,221.60 × 47,138.40
  4. Step 4: Simplify right side
    64,958.40x = 4,582,870,669.44
  5. Step 5: Solve for x
    x = 4,582,870,669.44/64,958.40
  6. Step 6: Final answer
    x = 70,550.86

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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.