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Finding the Fourth Proportional to 64,516.65, 96,774.93 and 20,147.20

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Solution

The fourth proportional to 64,516.65, 96,774.93 and 20,147.20 is: 30,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,516.65 : 96,774.93 = 20,147.20 : x
  2. Step 2: Convert to fraction form
    64,516.65/96,774.93 = 20,147.20/x
  3. Step 3: Cross multiply
    64,516.65x = 96,774.93 × 20,147.20
  4. Step 4: Simplify right side
    64,516.65x = 1,949,744,066.22
  5. Step 5: Solve for x
    x = 1,949,744,066.22/64,516.65
  6. Step 6: Final answer
    x = 30,220.79

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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.