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Finding the Fourth Proportional to 64,002.57, 96,000.24 and 19,629.20

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Solution

The fourth proportional to 64,002.57, 96,000.24 and 19,629.20 is: 29,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,002.57 : 96,000.24 = 19,629.20 : x
  2. Step 2: Convert to fraction form
    64,002.57/96,000.24 = 19,629.20/x
  3. Step 3: Cross multiply
    64,002.57x = 96,000.24 × 19,629.20
  4. Step 4: Simplify right side
    64,002.57x = 1,884,407,431.01
  5. Step 5: Solve for x
    x = 1,884,407,431.01/64,002.57
  6. Step 6: Final answer
    x = 29,442.68

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1.5x scale

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.