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Finding the Fourth Proportional to 64,771.65, 89,231.73 and 61,782.14

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Solution

The fourth proportional to 64,771.65, 89,231.73 and 61,782.14 is: 85,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,771.65 : 89,231.73 = 61,782.14 : x
  2. Step 2: Convert to fraction form
    64,771.65/89,231.73 = 61,782.14/x
  3. Step 3: Cross multiply
    64,771.65x = 89,231.73 × 61,782.14
  4. Step 4: Simplify right side
    64,771.65x = 5,512,927,226.70
  5. Step 5: Solve for x
    x = 5,512,927,226.70/64,771.65
  6. Step 6: Final answer
    x = 85,113.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.