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Finding the Fourth Proportional to 64,518.65, 96,777.93 and 20,149.20

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Solution

The fourth proportional to 64,518.65, 96,777.93 and 20,149.20 is: 30,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,518.65 : 96,777.93 = 20,149.20 : x
  2. Step 2: Convert to fraction form
    64,518.65/96,777.93 = 20,149.20/x
  3. Step 3: Cross multiply
    64,518.65x = 96,777.93 × 20,149.20
  4. Step 4: Simplify right side
    64,518.65x = 1,949,997,867.16
  5. Step 5: Solve for x
    x = 1,949,997,867.16/64,518.65
  6. Step 6: Final answer
    x = 30,223.79

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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.