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Finding the Fourth Proportional to 64,616.08, 89,142.78 and 39,451

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Solution

The fourth proportional to 64,616.08, 89,142.78 and 39,451 is: 54,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,616.08 : 89,142.78 = 39,451 : x
  2. Step 2: Convert to fraction form
    64,616.08/89,142.78 = 39,451/x
  3. Step 3: Cross multiply
    64,616.08x = 89,142.78 × 39,451
  4. Step 4: Simplify right side
    64,616.08x = 3,516,771,813.78
  5. Step 5: Solve for x
    x = 3,516,771,813.78/64,616.08
  6. Step 6: Final answer
    x = 54,425.64

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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.